TSTP Solution File: SWC293+1 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SWC293+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 20 11:19:26 EDT 2022
% Result : Theorem 253.77s 68.33s
% Output : Proof 253.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWC293+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.13 % Command : goeland -dmt -presko -proof %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Sep 3 23:47:30 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000039s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.36 Conjecture not found
% 0.12/0.36 Start search
% 0.12/0.37 nb_step : 1 - limit : 208
% 0.12/0.37 Launch Gotab with destructive = true
% 253.77/68.29 % SZS output start Proof for theBenchmark.p
% 253.77/68.33 [0] ALPHA_AND : ((! [U6_6] : ((ssItem(U6_6) => ! [V7_7] : ((ssItem(V7_7) => (neq(U6_6, V7_7) <=> ~=(U6_6, V7_7)))))) & ? [U8_8] : ((ssItem(U8_8) & ? [V9_9] : ((ssItem(V9_9) & ~=(U8_8, V9_9))))) & ! [U10_10] : ((ssList(U10_10) => ! [V11_11] : ((ssItem(V11_11) => (memberP(U10_10, V11_11) <=> ? [W12_12] : ((ssList(W12_12) & ? [X13_13] : ((ssList(X13_13) & =(app(W12_12, cons(V11_11, X13_13)), U10_10)))))))))) & ! [U14_14] : ((ssList(U14_14) => (singletonP(U14_14) <=> ? [V15_15] : ((ssItem(V15_15) & =(cons(V15_15, nil), U14_14)))))) & ! [U16_16] : ((ssList(U16_16) => ! [V17_17] : ((ssList(V17_17) => (frontsegP(U16_16, V17_17) <=> ? [W18_18] : ((ssList(W18_18) & =(app(V17_17, W18_18), U16_16)))))))) & ! [U19_19] : ((ssList(U19_19) => ! [V20_20] : ((ssList(V20_20) => (rearsegP(U19_19, V20_20) <=> ? [W21_21] : ((ssList(W21_21) & =(app(W21_21, V20_20), U19_19)))))))) & ! [U22_22] : ((ssList(U22_22) => ! [V23_23] : ((ssList(V23_23) => (segmentP(U22_22, V23_23) <=> ? [W24_24] : ((ssList(W24_24) & ? [X25_25] : ((ssList(X25_25) & =(app(app(W24_24, V23_23), X25_25), U22_22)))))))))) & ! [U26_26] : ((ssList(U26_26) => (cyclefreeP(U26_26) <=> ! [V27_27] : ((ssItem(V27_27) => ! [W28_28] : ((ssItem(W28_28) => ! [X29_29] : ((ssList(X29_29) => ! [Y30_30] : ((ssList(Y30_30) => ! [Z31_31] : ((ssList(Z31_31) => (=(app(app(X29_29, cons(V27_27, Y30_30)), cons(W28_28, Z31_31)), U26_26) => ~(leq(V27_27, W28_28) & leq(W28_28, V27_27)))))))))))))))) & ! [U32_32] : ((ssList(U32_32) => (totalorderP(U32_32) <=> ! [V33_33] : ((ssItem(V33_33) => ! [W34_34] : ((ssItem(W34_34) => ! [X35_35] : ((ssList(X35_35) => ! [Y36_36] : ((ssList(Y36_36) => ! [Z37_37] : ((ssList(Z37_37) => (=(app(app(X35_35, cons(V33_33, Y36_36)), cons(W34_34, Z37_37)), U32_32) => (leq(V33_33, W34_34) | leq(W34_34, V33_33)))))))))))))))) & ! [U38_38] : ((ssList(U38_38) => (strictorderP(U38_38) <=> ! [V39_39] : ((ssItem(V39_39) => ! [W40_40] : ((ssItem(W40_40) => ! [X41_41] : ((ssList(X41_41) => ! [Y42_42] : ((ssList(Y42_42) => ! [Z43_43] : ((ssList(Z43_43) => (=(app(app(X41_41, cons(V39_39, Y42_42)), cons(W40_40, Z43_43)), U38_38) => (lt(V39_39, W40_40) | lt(W40_40, V39_39)))))))))))))))) & ! [U44_44] : ((ssList(U44_44) => (totalorderedP(U44_44) <=> ! [V45_45] : ((ssItem(V45_45) => ! [W46_46] : ((ssItem(W46_46) => ! [X47_47] : ((ssList(X47_47) => ! [Y48_48] : ((ssList(Y48_48) => ! [Z49_49] : ((ssList(Z49_49) => (=(app(app(X47_47, cons(V45_45, Y48_48)), cons(W46_46, Z49_49)), U44_44) => leq(V45_45, W46_46))))))))))))))) & ! [U50_50] : ((ssList(U50_50) => (strictorderedP(U50_50) <=> ! [V51_51] : ((ssItem(V51_51) => ! [W52_52] : ((ssItem(W52_52) => ! [X53_53] : ((ssList(X53_53) => ! [Y54_54] : ((ssList(Y54_54) => ! [Z55_55] : ((ssList(Z55_55) => (=(app(app(X53_53, cons(V51_51, Y54_54)), cons(W52_52, Z55_55)), U50_50) => lt(V51_51, W52_52))))))))))))))) & ! [U56_56] : ((ssList(U56_56) => (duplicatefreeP(U56_56) <=> ! [V57_57] : ((ssItem(V57_57) => ! [W58_58] : ((ssItem(W58_58) => ! [X59_59] : ((ssList(X59_59) => ! [Y60_60] : ((ssList(Y60_60) => ! [Z61_61] : ((ssList(Z61_61) => (=(app(app(X59_59, cons(V57_57, Y60_60)), cons(W58_58, Z61_61)), U56_56) => ~=(V57_57, W58_58))))))))))))))) & ! [U62_62] : ((ssList(U62_62) => (equalelemsP(U62_62) <=> ! [V63_63] : ((ssItem(V63_63) => ! [W64_64] : ((ssItem(W64_64) => ! [X65_65] : ((ssList(X65_65) => ! [Y66_66] : ((ssList(Y66_66) => (=(app(X65_65, cons(V63_63, cons(W64_64, Y66_66))), U62_62) => =(V63_63, W64_64))))))))))))) & ! [U67_67] : ((ssList(U67_67) => ! [V68_68] : ((ssList(V68_68) => (neq(U67_67, V68_68) <=> ~=(U67_67, V68_68)))))) & ! [U69_69] : ((ssList(U69_69) => ! [V70_70] : ((ssItem(V70_70) => ssList(cons(V70_70, U69_69)))))) & ssList(nil) & ! [U71_71] : ((ssList(U71_71) => ! [V72_72] : ((ssItem(V72_72) => ~=(cons(V72_72, U71_71), U71_71))))) & ! [U73_73] : ((ssList(U73_73) => ! [V74_74] : ((ssList(V74_74) => ! [W75_75] : ((ssItem(W75_75) => ! [X76_76] : ((ssItem(X76_76) => (=(cons(W75_75, U73_73), cons(X76_76, V74_74)) => (=(W75_75, X76_76) & =(V74_74, U73_73))))))))))) & ! [U77_77] : ((ssList(U77_77) => (=(nil, U77_77) | ? [V78_78] : ((ssList(V78_78) & ? [W79_79] : ((ssItem(W79_79) & =(cons(W79_79, V78_78), U77_77)))))))) & ! [U80_80] : ((ssList(U80_80) => ! [V81_81] : ((ssItem(V81_81) => ~=(nil, cons(V81_81, U80_80)))))) & ! [U82_82] : ((ssList(U82_82) => (~=(nil, U82_82) => ssItem(hd(U82_82))))) & ! [U83_83] : ((ssList(U83_83) => ! [V84_84] : ((ssItem(V84_84) => =(hd(cons(V84_84, U83_83)), V84_84))))) & ! [U85_85] : ((ssList(U85_85) => (~=(nil, U85_85) => ssList(tl(U85_85))))) & ! [U86_86] : ((ssList(U86_86) => ! [V87_87] : ((ssItem(V87_87) => =(tl(cons(V87_87, U86_86)), U86_86))))) & ! [U88_88] : ((ssList(U88_88) => ! [V89_89] : ((ssList(V89_89) => ssList(app(U88_88, V89_89)))))) & ! [U90_90] : ((ssList(U90_90) => ! [V91_91] : ((ssList(V91_91) => ! [W92_92] : ((ssItem(W92_92) => =(cons(W92_92, app(V91_91, U90_90)), app(cons(W92_92, V91_91), U90_90)))))))) & ! [U93_93] : ((ssList(U93_93) => =(app(nil, U93_93), U93_93))) & ! [U94_94] : ((ssItem(U94_94) => ! [V95_95] : ((ssItem(V95_95) => ((leq(U94_94, V95_95) & leq(V95_95, U94_94)) => =(U94_94, V95_95)))))) & ! [U96_96] : ((ssItem(U96_96) => ! [V97_97] : ((ssItem(V97_97) => ! [W98_98] : ((ssItem(W98_98) => ((leq(U96_96, V97_97) & leq(V97_97, W98_98)) => leq(U96_96, W98_98)))))))) & ! [U99_99] : ((ssItem(U99_99) => leq(U99_99, U99_99))) & ! [U100_100] : ((ssItem(U100_100) => ! [V101_101] : ((ssItem(V101_101) => (geq(U100_100, V101_101) <=> leq(V101_101, U100_100)))))) & ! [U102_102] : ((ssItem(U102_102) => ! [V103_103] : ((ssItem(V103_103) => (lt(U102_102, V103_103) => ~lt(V103_103, U102_102)))))) & ! [U104_104] : ((ssItem(U104_104) => ! [V105_105] : ((ssItem(V105_105) => ! [W106_106] : ((ssItem(W106_106) => ((lt(U104_104, V105_105) & lt(V105_105, W106_106)) => lt(U104_104, W106_106)))))))) & ! [U107_107] : ((ssItem(U107_107) => ! [V108_108] : ((ssItem(V108_108) => (gt(U107_107, V108_108) <=> lt(V108_108, U107_107)))))) & ! [U109_109] : ((ssItem(U109_109) => ! [V110_110] : ((ssList(V110_110) => ! [W111_111] : ((ssList(W111_111) => (memberP(app(V110_110, W111_111), U109_109) <=> (memberP(V110_110, U109_109) | memberP(W111_111, U109_109))))))))) & ! [U112_112] : ((ssItem(U112_112) => ! [V113_113] : ((ssItem(V113_113) => ! [W114_114] : ((ssList(W114_114) => (memberP(cons(V113_113, W114_114), U112_112) <=> (=(U112_112, V113_113) | memberP(W114_114, U112_112))))))))) & ! [U115_115] : ((ssItem(U115_115) => ~memberP(nil, U115_115))) & ~singletonP(nil) & ! [U116_116] : ((ssList(U116_116) => ! [V117_117] : ((ssList(V117_117) => ! [W118_118] : ((ssList(W118_118) => ((frontsegP(U116_116, V117_117) & frontsegP(V117_117, W118_118)) => frontsegP(U116_116, W118_118)))))))) & ! [U119_119] : ((ssList(U119_119) => ! [V120_120] : ((ssList(V120_120) => ((frontsegP(U119_119, V120_120) & frontsegP(V120_120, U119_119)) => =(U119_119, V120_120)))))) & ! [U121_121] : ((ssList(U121_121) => frontsegP(U121_121, U121_121))) & ! [U122_122] : ((ssList(U122_122) => ! [V123_123] : ((ssList(V123_123) => ! [W124_124] : ((ssList(W124_124) => (frontsegP(U122_122, V123_123) => frontsegP(app(U122_122, W124_124), V123_123)))))))) & ! [U125_125] : ((ssItem(U125_125) => ! [V126_126] : ((ssItem(V126_126) => ! [W127_127] : ((ssList(W127_127) => ! [X128_128] : ((ssList(X128_128) => (frontsegP(cons(U125_125, W127_127), cons(V126_126, X128_128)) <=> (=(U125_125, V126_126) & frontsegP(W127_127, X128_128))))))))))) & ! [U129_129] : ((ssList(U129_129) => frontsegP(U129_129, nil))) & ! [U130_130] : ((ssList(U130_130) => (frontsegP(nil, U130_130) <=> =(nil, U130_130)))) & ! [U131_131] : ((ssList(U131_131) => ! [V132_132] : ((ssList(V132_132) => ! [W133_133] : ((ssList(W133_133) => ((rearsegP(U131_131, V132_132) & rearsegP(V132_132, W133_133)) => rearsegP(U131_131, W133_133)))))))) & ! [U134_134] : ((ssList(U134_134) => ! [V135_135] : ((ssList(V135_135) => ((rearsegP(U134_134, V135_135) & rearsegP(V135_135, U134_134)) => =(U134_134, V135_135)))))) & ! [U136_136] : ((ssList(U136_136) => rearsegP(U136_136, U136_136))) & ! [U137_137] : ((ssList(U137_137) => ! [V138_138] : ((ssList(V138_138) => ! [W139_139] : ((ssList(W139_139) => (rearsegP(U137_137, V138_138) => rearsegP(app(W139_139, U137_137), V138_138)))))))) & ! [U140_140] : ((ssList(U140_140) => rearsegP(U140_140, nil))) & ! [U141_141] : ((ssList(U141_141) => (rearsegP(nil, U141_141) <=> =(nil, U141_141)))) & ! [U142_142] : ((ssList(U142_142) => ! [V143_143] : ((ssList(V143_143) => ! [W144_144] : ((ssList(W144_144) => ((segmentP(U142_142, V143_143) & segmentP(V143_143, W144_144)) => segmentP(U142_142, W144_144)))))))) & ! [U145_145] : ((ssList(U145_145) => ! [V146_146] : ((ssList(V146_146) => ((segmentP(U145_145, V146_146) & segmentP(V146_146, U145_145)) => =(U145_145, V146_146)))))) & ! [U147_147] : ((ssList(U147_147) => segmentP(U147_147, U147_147))) & ! [U148_148] : ((ssList(U148_148) => ! [V149_149] : ((ssList(V149_149) => ! [W150_150] : ((ssList(W150_150) => ! [X151_151] : ((ssList(X151_151) => (segmentP(U148_148, V149_149) => segmentP(app(app(W150_150, U148_148), X151_151), V149_149)))))))))) & ! [U152_152] : ((ssList(U152_152) => segmentP(U152_152, nil))) & ! [U153_153] : ((ssList(U153_153) => (segmentP(nil, U153_153) <=> =(nil, U153_153)))) & ! [U154_154] : ((ssItem(U154_154) => cyclefreeP(cons(U154_154, nil)))) & cyclefreeP(nil) & ! [U155_155] : ((ssItem(U155_155) => totalorderP(cons(U155_155, nil)))) & totalorderP(nil) & ! [U156_156] : ((ssItem(U156_156) => strictorderP(cons(U156_156, nil)))) & strictorderP(nil) & ! [U157_157] : ((ssItem(U157_157) => totalorderedP(cons(U157_157, nil)))) & totalorderedP(nil) & ! [U158_158] : ((ssItem(U158_158) => ! [V159_159] : ((ssList(V159_159) => (totalorderedP(cons(U158_158, V159_159)) <=> (=(nil, V159_159) | ((~=(nil, V159_159) & totalorderedP(V159_159)) & leq(U158_158, hd(V159_159))))))))) & ! [U160_160] : ((ssItem(U160_160) => strictorderedP(cons(U160_160, nil)))) & strictorderedP(nil) & ! [U161_161] : ((ssItem(U161_161) => ! [V162_162] : ((ssList(V162_162) => (strictorderedP(cons(U161_161, V162_162)) <=> (=(nil, V162_162) | ((~=(nil, V162_162) & strictorderedP(V162_162)) & lt(U161_161, hd(V162_162))))))))) & ! [U163_163] : ((ssItem(U163_163) => duplicatefreeP(cons(U163_163, nil)))) & duplicatefreeP(nil) & ! [U164_164] : ((ssItem(U164_164) => equalelemsP(cons(U164_164, nil)))) & equalelemsP(nil) & ! [U165_165] : ((ssList(U165_165) => (~=(nil, U165_165) => ? [V166_166] : ((ssItem(V166_166) & =(hd(U165_165), V166_166)))))) & ! [U167_167] : ((ssList(U167_167) => (~=(nil, U167_167) => ? [V168_168] : ((ssList(V168_168) & =(tl(U167_167), V168_168)))))) & ! [U169_169] : ((ssList(U169_169) => ! [V170_170] : ((ssList(V170_170) => ((((~=(nil, V170_170) & ~=(nil, U169_169)) & =(hd(V170_170), hd(U169_169))) & =(tl(V170_170), tl(U169_169))) => =(V170_170, U169_169)))))) & ! [U171_171] : ((ssList(U171_171) => (~=(nil, U171_171) => =(cons(hd(U171_171), tl(U171_171)), U171_171)))) & ! [U172_172] : ((ssList(U172_172) => ! [V173_173] : ((ssList(V173_173) => ! [W174_174] : ((ssList(W174_174) => (=(app(W174_174, V173_173), app(U172_172, V173_173)) => =(W174_174, U172_172)))))))) & ! [U175_175] : ((ssList(U175_175) => ! [V176_176] : ((ssList(V176_176) => ! [W177_177] : ((ssList(W177_177) => (=(app(V176_176, W177_177), app(V176_176, U175_175)) => =(W177_177, U175_175)))))))) & ! [U178_178] : ((ssList(U178_178) => ! [V179_179] : ((ssItem(V179_179) => =(cons(V179_179, U178_178), app(cons(V179_179, nil), U178_178)))))) & ! [U180_180] : ((ssList(U180_180) => ! [V181_181] : ((ssList(V181_181) => ! [W182_182] : ((ssList(W182_182) => =(app(app(U180_180, V181_181), W182_182), app(U180_180, app(V181_181, W182_182))))))))) & ! [U183_183] : ((ssList(U183_183) => ! [V184_184] : ((ssList(V184_184) => (=(nil, app(U183_183, V184_184)) <=> (=(nil, V184_184) & =(nil, U183_183))))))) & ! [U185_185] : ((ssList(U185_185) => =(app(U185_185, nil), U185_185))) & ! [U186_186] : ((ssList(U186_186) => ! [V187_187] : ((ssList(V187_187) => (~=(nil, U186_186) => =(hd(app(U186_186, V187_187)), hd(U186_186))))))) & ! [U188_188] : ((ssList(U188_188) => ! [V189_189] : ((ssList(V189_189) => (~=(nil, U188_188) => =(tl(app(U188_188, V189_189)), app(tl(U188_188), V189_189))))))) & ! [U190_190] : ((ssItem(U190_190) => ! [V191_191] : ((ssItem(V191_191) => ((geq(U190_190, V191_191) & geq(V191_191, U190_190)) => =(U190_190, V191_191)))))) & ! [U192_192] : ((ssItem(U192_192) => ! [V193_193] : ((ssItem(V193_193) => ! [W194_194] : ((ssItem(W194_194) => ((geq(U192_192, V193_193) & geq(V193_193, W194_194)) => geq(U192_192, W194_194)))))))) & ! [U195_195] : ((ssItem(U195_195) => geq(U195_195, U195_195))) & ! [U196_196] : ((ssItem(U196_196) => ~lt(U196_196, U196_196))) & ! [U197_197] : ((ssItem(U197_197) => ! [V198_198] : ((ssItem(V198_198) => ! [W199_199] : ((ssItem(W199_199) => ((leq(U197_197, V198_198) & lt(V198_198, W199_199)) => lt(U197_197, W199_199)))))))) & ! [U200_200] : ((ssItem(U200_200) => ! [V201_201] : ((ssItem(V201_201) => (leq(U200_200, V201_201) => (=(U200_200, V201_201) | lt(U200_200, V201_201))))))) & ! [U202_202] : ((ssItem(U202_202) => ! [V203_203] : ((ssItem(V203_203) => (lt(U202_202, V203_203) <=> (~=(U202_202, V203_203) & leq(U202_202, V203_203))))))) & ! [U204_204] : ((ssItem(U204_204) => ! [V205_205] : ((ssItem(V205_205) => (gt(U204_204, V205_205) => ~gt(V205_205, U204_204)))))) & ! [U206_206] : ((ssItem(U206_206) => ! [V207_207] : ((ssItem(V207_207) => ! [W208_208] : ((ssItem(W208_208) => ((gt(U206_206, V207_207) & gt(V207_207, W208_208)) => gt(U206_206, W208_208))))))))) & ~! [U209_209] : ((ssList(U209_209) => ! [V210_210] : ((ssList(V210_210) => ! [W211_211] : ((ssList(W211_211) => ! [X212_212] : (((((~ssList(X212_212) | ~=(V210_210, X212_212)) | ~=(U209_209, W211_211)) | strictorderedP(U209_209)) | (! [Y213_213] : (((~ssItem(Y213_213) | ~=(cons(Y213_213, nil), W211_211)) | ~memberP(X212_212, Y213_213))) & (~=(nil, X212_212) | ~=(nil, W211_211))))))))))))
% 253.77/68.33 -> [1] (! [U6_6] : ((ssItem(U6_6) => ! [V7_7] : ((ssItem(V7_7) => (neq(U6_6, V7_7) <=> ~=(U6_6, V7_7)))))) & ? [U8_8] : ((ssItem(U8_8) & ? [V9_9] : ((ssItem(V9_9) & ~=(U8_8, V9_9))))) & ! [U10_10] : ((ssList(U10_10) => ! [V11_11] : ((ssItem(V11_11) => (memberP(U10_10, V11_11) <=> ? [W12_12] : ((ssList(W12_12) & ? [X13_13] : ((ssList(X13_13) & =(app(W12_12, cons(V11_11, X13_13)), U10_10)))))))))) & ! [U14_14] : ((ssList(U14_14) => (singletonP(U14_14) <=> ? [V15_15] : ((ssItem(V15_15) & =(cons(V15_15, nil), U14_14)))))) & ! [U16_16] : ((ssList(U16_16) => ! [V17_17] : ((ssList(V17_17) => (frontsegP(U16_16, V17_17) <=> ? [W18_18] : ((ssList(W18_18) & =(app(V17_17, W18_18), U16_16)))))))) & ! [U19_19] : ((ssList(U19_19) => ! [V20_20] : ((ssList(V20_20) => (rearsegP(U19_19, V20_20) <=> ? [W21_21] : ((ssList(W21_21) & =(app(W21_21, V20_20), U19_19)))))))) & ! [U22_22] : ((ssList(U22_22) => ! [V23_23] : ((ssList(V23_23) => (segmentP(U22_22, V23_23) <=> ? [W24_24] : ((ssList(W24_24) & ? [X25_25] : ((ssList(X25_25) & =(app(app(W24_24, V23_23), X25_25), U22_22)))))))))) & ! [U26_26] : ((ssList(U26_26) => (cyclefreeP(U26_26) <=> ! [V27_27] : ((ssItem(V27_27) => ! [W28_28] : ((ssItem(W28_28) => ! [X29_29] : ((ssList(X29_29) => ! [Y30_30] : ((ssList(Y30_30) => ! [Z31_31] : ((ssList(Z31_31) => (=(app(app(X29_29, cons(V27_27, Y30_30)), cons(W28_28, Z31_31)), U26_26) => ~(leq(V27_27, W28_28) & leq(W28_28, V27_27)))))))))))))))) & ! [U32_32] : ((ssList(U32_32) => (totalorderP(U32_32) <=> ! [V33_33] : ((ssItem(V33_33) => ! [W34_34] : ((ssItem(W34_34) => ! [X35_35] : ((ssList(X35_35) => ! [Y36_36] : ((ssList(Y36_36) => ! [Z37_37] : ((ssList(Z37_37) => (=(app(app(X35_35, cons(V33_33, Y36_36)), cons(W34_34, Z37_37)), U32_32) => (leq(V33_33, W34_34) | leq(W34_34, V33_33)))))))))))))))) & ! [U38_38] : ((ssList(U38_38) => (strictorderP(U38_38) <=> ! [V39_39] : ((ssItem(V39_39) => ! [W40_40] : ((ssItem(W40_40) => ! [X41_41] : ((ssList(X41_41) => ! [Y42_42] : ((ssList(Y42_42) => ! [Z43_43] : ((ssList(Z43_43) => (=(app(app(X41_41, cons(V39_39, Y42_42)), cons(W40_40, Z43_43)), U38_38) => (lt(V39_39, W40_40) | lt(W40_40, V39_39)))))))))))))))) & ! [U44_44] : ((ssList(U44_44) => (totalorderedP(U44_44) <=> ! [V45_45] : ((ssItem(V45_45) => ! [W46_46] : ((ssItem(W46_46) => ! [X47_47] : ((ssList(X47_47) => ! [Y48_48] : ((ssList(Y48_48) => ! [Z49_49] : ((ssList(Z49_49) => (=(app(app(X47_47, cons(V45_45, Y48_48)), cons(W46_46, Z49_49)), U44_44) => leq(V45_45, W46_46))))))))))))))) & ! [U50_50] : ((ssList(U50_50) => (strictorderedP(U50_50) <=> ! [V51_51] : ((ssItem(V51_51) => ! [W52_52] : ((ssItem(W52_52) => ! [X53_53] : ((ssList(X53_53) => ! [Y54_54] : ((ssList(Y54_54) => ! [Z55_55] : ((ssList(Z55_55) => (=(app(app(X53_53, cons(V51_51, Y54_54)), cons(W52_52, Z55_55)), U50_50) => lt(V51_51, W52_52))))))))))))))) & ! [U56_56] : ((ssList(U56_56) => (duplicatefreeP(U56_56) <=> ! [V57_57] : ((ssItem(V57_57) => ! [W58_58] : ((ssItem(W58_58) => ! [X59_59] : ((ssList(X59_59) => ! [Y60_60] : ((ssList(Y60_60) => ! [Z61_61] : ((ssList(Z61_61) => (=(app(app(X59_59, cons(V57_57, Y60_60)), cons(W58_58, Z61_61)), U56_56) => ~=(V57_57, W58_58))))))))))))))) & ! [U62_62] : ((ssList(U62_62) => (equalelemsP(U62_62) <=> ! [V63_63] : ((ssItem(V63_63) => ! [W64_64] : ((ssItem(W64_64) => ! [X65_65] : ((ssList(X65_65) => ! [Y66_66] : ((ssList(Y66_66) => (=(app(X65_65, cons(V63_63, cons(W64_64, Y66_66))), U62_62) => =(V63_63, W64_64))))))))))))) & ! [U67_67] : ((ssList(U67_67) => ! [V68_68] : ((ssList(V68_68) => (neq(U67_67, V68_68) <=> ~=(U67_67, V68_68)))))) & ! [U69_69] : ((ssList(U69_69) => ! [V70_70] : ((ssItem(V70_70) => ssList(cons(V70_70, U69_69)))))) & ssList(nil) & ! [U71_71] : ((ssList(U71_71) => ! [V72_72] : ((ssItem(V72_72) => ~=(cons(V72_72, U71_71), U71_71))))) & ! [U73_73] : ((ssList(U73_73) => ! [V74_74] : ((ssList(V74_74) => ! [W75_75] : ((ssItem(W75_75) => ! [X76_76] : ((ssItem(X76_76) => (=(cons(W75_75, U73_73), cons(X76_76, V74_74)) => (=(W75_75, X76_76) & =(V74_74, U73_73))))))))))) & ! [U77_77] : ((ssList(U77_77) => (=(nil, U77_77) | ? [V78_78] : ((ssList(V78_78) & ? [W79_79] : ((ssItem(W79_79) & =(cons(W79_79, V78_78), U77_77)))))))) & ! [U80_80] : ((ssList(U80_80) => ! [V81_81] : ((ssItem(V81_81) => ~=(nil, cons(V81_81, U80_80)))))) & ! [U82_82] : ((ssList(U82_82) => (~=(nil, U82_82) => ssItem(hd(U82_82))))) & ! [U83_83] : ((ssList(U83_83) => ! [V84_84] : ((ssItem(V84_84) => =(hd(cons(V84_84, U83_83)), V84_84))))) & ! [U85_85] : ((ssList(U85_85) => (~=(nil, U85_85) => ssList(tl(U85_85))))) & ! [U86_86] : ((ssList(U86_86) => ! [V87_87] : ((ssItem(V87_87) => =(tl(cons(V87_87, U86_86)), U86_86))))) & ! [U88_88] : ((ssList(U88_88) => ! [V89_89] : ((ssList(V89_89) => ssList(app(U88_88, V89_89)))))) & ! [U90_90] : ((ssList(U90_90) => ! [V91_91] : ((ssList(V91_91) => ! [W92_92] : ((ssItem(W92_92) => =(cons(W92_92, app(V91_91, U90_90)), app(cons(W92_92, V91_91), U90_90)))))))) & ! [U93_93] : ((ssList(U93_93) => =(app(nil, U93_93), U93_93))) & ! [U94_94] : ((ssItem(U94_94) => ! [V95_95] : ((ssItem(V95_95) => ((leq(U94_94, V95_95) & leq(V95_95, U94_94)) => =(U94_94, V95_95)))))) & ! [U96_96] : ((ssItem(U96_96) => ! [V97_97] : ((ssItem(V97_97) => ! [W98_98] : ((ssItem(W98_98) => ((leq(U96_96, V97_97) & leq(V97_97, W98_98)) => leq(U96_96, W98_98)))))))) & ! [U99_99] : ((ssItem(U99_99) => leq(U99_99, U99_99))) & ! [U100_100] : ((ssItem(U100_100) => ! [V101_101] : ((ssItem(V101_101) => (geq(U100_100, V101_101) <=> leq(V101_101, U100_100)))))) & ! [U102_102] : ((ssItem(U102_102) => ! [V103_103] : ((ssItem(V103_103) => (lt(U102_102, V103_103) => ~lt(V103_103, U102_102)))))) & ! [U104_104] : ((ssItem(U104_104) => ! [V105_105] : ((ssItem(V105_105) => ! [W106_106] : ((ssItem(W106_106) => ((lt(U104_104, V105_105) & lt(V105_105, W106_106)) => lt(U104_104, W106_106)))))))) & ! [U107_107] : ((ssItem(U107_107) => ! [V108_108] : ((ssItem(V108_108) => (gt(U107_107, V108_108) <=> lt(V108_108, U107_107)))))) & ! [U109_109] : ((ssItem(U109_109) => ! [V110_110] : ((ssList(V110_110) => ! [W111_111] : ((ssList(W111_111) => (memberP(app(V110_110, W111_111), U109_109) <=> (memberP(V110_110, U109_109) | memberP(W111_111, U109_109))))))))) & ! [U112_112] : ((ssItem(U112_112) => ! [V113_113] : ((ssItem(V113_113) => ! [W114_114] : ((ssList(W114_114) => (memberP(cons(V113_113, W114_114), U112_112) <=> (=(U112_112, V113_113) | memberP(W114_114, U112_112))))))))) & ! [U115_115] : ((ssItem(U115_115) => ~memberP(nil, U115_115))) & ~singletonP(nil) & ! [U116_116] : ((ssList(U116_116) => ! [V117_117] : ((ssList(V117_117) => ! [W118_118] : ((ssList(W118_118) => ((frontsegP(U116_116, V117_117) & frontsegP(V117_117, W118_118)) => frontsegP(U116_116, W118_118)))))))) & ! [U119_119] : ((ssList(U119_119) => ! [V120_120] : ((ssList(V120_120) => ((frontsegP(U119_119, V120_120) & frontsegP(V120_120, U119_119)) => =(U119_119, V120_120)))))) & ! [U121_121] : ((ssList(U121_121) => frontsegP(U121_121, U121_121))) & ! [U122_122] : ((ssList(U122_122) => ! [V123_123] : ((ssList(V123_123) => ! [W124_124] : ((ssList(W124_124) => (frontsegP(U122_122, V123_123) => frontsegP(app(U122_122, W124_124), V123_123)))))))) & ! [U125_125] : ((ssItem(U125_125) => ! [V126_126] : ((ssItem(V126_126) => ! [W127_127] : ((ssList(W127_127) => ! [X128_128] : ((ssList(X128_128) => (frontsegP(cons(U125_125, W127_127), cons(V126_126, X128_128)) <=> (=(U125_125, V126_126) & frontsegP(W127_127, X128_128))))))))))) & ! [U129_129] : ((ssList(U129_129) => frontsegP(U129_129, nil))) & ! [U130_130] : ((ssList(U130_130) => (frontsegP(nil, U130_130) <=> =(nil, U130_130)))) & ! [U131_131] : ((ssList(U131_131) => ! [V132_132] : ((ssList(V132_132) => ! [W133_133] : ((ssList(W133_133) => ((rearsegP(U131_131, V132_132) & rearsegP(V132_132, W133_133)) => rearsegP(U131_131, W133_133)))))))) & ! [U134_134] : ((ssList(U134_134) => ! [V135_135] : ((ssList(V135_135) => ((rearsegP(U134_134, V135_135) & rearsegP(V135_135, U134_134)) => =(U134_134, V135_135)))))) & ! [U136_136] : ((ssList(U136_136) => rearsegP(U136_136, U136_136))) & ! [U137_137] : ((ssList(U137_137) => ! [V138_138] : ((ssList(V138_138) => ! [W139_139] : ((ssList(W139_139) => (rearsegP(U137_137, V138_138) => rearsegP(app(W139_139, U137_137), V138_138)))))))) & ! [U140_140] : ((ssList(U140_140) => rearsegP(U140_140, nil))) & ! [U141_141] : ((ssList(U141_141) => (rearsegP(nil, U141_141) <=> =(nil, U141_141)))) & ! [U142_142] : ((ssList(U142_142) => ! [V143_143] : ((ssList(V143_143) => ! [W144_144] : ((ssList(W144_144) => ((segmentP(U142_142, V143_143) & segmentP(V143_143, W144_144)) => segmentP(U142_142, W144_144)))))))) & ! [U145_145] : ((ssList(U145_145) => ! [V146_146] : ((ssList(V146_146) => ((segmentP(U145_145, V146_146) & segmentP(V146_146, U145_145)) => =(U145_145, V146_146)))))) & ! [U147_147] : ((ssList(U147_147) => segmentP(U147_147, U147_147))) & ! [U148_148] : ((ssList(U148_148) => ! [V149_149] : ((ssList(V149_149) => ! [W150_150] : ((ssList(W150_150) => ! [X151_151] : ((ssList(X151_151) => (segmentP(U148_148, V149_149) => segmentP(app(app(W150_150, U148_148), X151_151), V149_149)))))))))) & ! [U152_152] : ((ssList(U152_152) => segmentP(U152_152, nil))) & ! [U153_153] : ((ssList(U153_153) => (segmentP(nil, U153_153) <=> =(nil, U153_153)))) & ! [U154_154] : ((ssItem(U154_154) => cyclefreeP(cons(U154_154, nil)))) & cyclefreeP(nil) & ! [U155_155] : ((ssItem(U155_155) => totalorderP(cons(U155_155, nil)))) & totalorderP(nil) & ! [U156_156] : ((ssItem(U156_156) => strictorderP(cons(U156_156, nil)))) & strictorderP(nil) & ! [U157_157] : ((ssItem(U157_157) => totalorderedP(cons(U157_157, nil)))) & totalorderedP(nil) & ! [U158_158] : ((ssItem(U158_158) => ! [V159_159] : ((ssList(V159_159) => (totalorderedP(cons(U158_158, V159_159)) <=> (=(nil, V159_159) | ((~=(nil, V159_159) & totalorderedP(V159_159)) & leq(U158_158, hd(V159_159))))))))) & ! [U160_160] : ((ssItem(U160_160) => strictorderedP(cons(U160_160, nil)))) & strictorderedP(nil) & ! [U161_161] : ((ssItem(U161_161) => ! [V162_162] : ((ssList(V162_162) => (strictorderedP(cons(U161_161, V162_162)) <=> (=(nil, V162_162) | ((~=(nil, V162_162) & strictorderedP(V162_162)) & lt(U161_161, hd(V162_162))))))))) & ! [U163_163] : ((ssItem(U163_163) => duplicatefreeP(cons(U163_163, nil)))) & duplicatefreeP(nil) & ! [U164_164] : ((ssItem(U164_164) => equalelemsP(cons(U164_164, nil)))) & equalelemsP(nil) & ! [U165_165] : ((ssList(U165_165) => (~=(nil, U165_165) => ? [V166_166] : ((ssItem(V166_166) & =(hd(U165_165), V166_166)))))) & ! [U167_167] : ((ssList(U167_167) => (~=(nil, U167_167) => ? [V168_168] : ((ssList(V168_168) & =(tl(U167_167), V168_168)))))) & ! [U169_169] : ((ssList(U169_169) => ! [V170_170] : ((ssList(V170_170) => ((((~=(nil, V170_170) & ~=(nil, U169_169)) & =(hd(V170_170), hd(U169_169))) & =(tl(V170_170), tl(U169_169))) => =(V170_170, U169_169)))))) & ! [U171_171] : ((ssList(U171_171) => (~=(nil, U171_171) => =(cons(hd(U171_171), tl(U171_171)), U171_171)))) & ! [U172_172] : ((ssList(U172_172) => ! [V173_173] : ((ssList(V173_173) => ! [W174_174] : ((ssList(W174_174) => (=(app(W174_174, V173_173), app(U172_172, V173_173)) => =(W174_174, U172_172)))))))) & ! [U175_175] : ((ssList(U175_175) => ! [V176_176] : ((ssList(V176_176) => ! [W177_177] : ((ssList(W177_177) => (=(app(V176_176, W177_177), app(V176_176, U175_175)) => =(W177_177, U175_175)))))))) & ! [U178_178] : ((ssList(U178_178) => ! [V179_179] : ((ssItem(V179_179) => =(cons(V179_179, U178_178), app(cons(V179_179, nil), U178_178)))))) & ! [U180_180] : ((ssList(U180_180) => ! [V181_181] : ((ssList(V181_181) => ! [W182_182] : ((ssList(W182_182) => =(app(app(U180_180, V181_181), W182_182), app(U180_180, app(V181_181, W182_182))))))))) & ! [U183_183] : ((ssList(U183_183) => ! [V184_184] : ((ssList(V184_184) => (=(nil, app(U183_183, V184_184)) <=> (=(nil, V184_184) & =(nil, U183_183))))))) & ! [U185_185] : ((ssList(U185_185) => =(app(U185_185, nil), U185_185))) & ! [U186_186] : ((ssList(U186_186) => ! [V187_187] : ((ssList(V187_187) => (~=(nil, U186_186) => =(hd(app(U186_186, V187_187)), hd(U186_186))))))) & ! [U188_188] : ((ssList(U188_188) => ! [V189_189] : ((ssList(V189_189) => (~=(nil, U188_188) => =(tl(app(U188_188, V189_189)), app(tl(U188_188), V189_189))))))) & ! [U190_190] : ((ssItem(U190_190) => ! [V191_191] : ((ssItem(V191_191) => ((geq(U190_190, V191_191) & geq(V191_191, U190_190)) => =(U190_190, V191_191)))))) & ! [U192_192] : ((ssItem(U192_192) => ! [V193_193] : ((ssItem(V193_193) => ! [W194_194] : ((ssItem(W194_194) => ((geq(U192_192, V193_193) & geq(V193_193, W194_194)) => geq(U192_192, W194_194)))))))) & ! [U195_195] : ((ssItem(U195_195) => geq(U195_195, U195_195))) & ! [U196_196] : ((ssItem(U196_196) => ~lt(U196_196, U196_196))) & ! [U197_197] : ((ssItem(U197_197) => ! [V198_198] : ((ssItem(V198_198) => ! [W199_199] : ((ssItem(W199_199) => ((leq(U197_197, V198_198) & lt(V198_198, W199_199)) => lt(U197_197, W199_199)))))))) & ! [U200_200] : ((ssItem(U200_200) => ! [V201_201] : ((ssItem(V201_201) => (leq(U200_200, V201_201) => (=(U200_200, V201_201) | lt(U200_200, V201_201))))))) & ! [U202_202] : ((ssItem(U202_202) => ! [V203_203] : ((ssItem(V203_203) => (lt(U202_202, V203_203) <=> (~=(U202_202, V203_203) & leq(U202_202, V203_203))))))) & ! [U204_204] : ((ssItem(U204_204) => ! [V205_205] : ((ssItem(V205_205) => (gt(U204_204, V205_205) => ~gt(V205_205, U204_204)))))) & ! [U206_206] : ((ssItem(U206_206) => ! [V207_207] : ((ssItem(V207_207) => ! [W208_208] : ((ssItem(W208_208) => ((gt(U206_206, V207_207) & gt(V207_207, W208_208)) => gt(U206_206, W208_208))))))))), ~! [U209_209] : ((ssList(U209_209) => ! [V210_210] : ((ssList(V210_210) => ! [W211_211] : ((ssList(W211_211) => ! [X212_212] : (((((~ssList(X212_212) | ~=(V210_210, X212_212)) | ~=(U209_209, W211_211)) | strictorderedP(U209_209)) | (! [Y213_213] : (((~ssItem(Y213_213) | ~=(cons(Y213_213, nil), W211_211)) | ~memberP(X212_212, Y213_213))) & (~=(nil, X212_212) | ~=(nil, W211_211)))))))))))
% 253.77/68.33
% 253.77/68.33 [1] ALPHA_AND : (! [U6_6] : ((ssItem(U6_6) => ! [V7_7] : ((ssItem(V7_7) => (neq(U6_6, V7_7) <=> ~=(U6_6, V7_7)))))) & ? [U8_8] : ((ssItem(U8_8) & ? [V9_9] : ((ssItem(V9_9) & ~=(U8_8, V9_9))))) & ! [U10_10] : ((ssList(U10_10) => ! [V11_11] : ((ssItem(V11_11) => (memberP(U10_10, V11_11) <=> ? [W12_12] : ((ssList(W12_12) & ? [X13_13] : ((ssList(X13_13) & =(app(W12_12, cons(V11_11, X13_13)), U10_10)))))))))) & ! [U14_14] : ((ssList(U14_14) => (singletonP(U14_14) <=> ? [V15_15] : ((ssItem(V15_15) & =(cons(V15_15, nil), U14_14)))))) & ! [U16_16] : ((ssList(U16_16) => ! [V17_17] : ((ssList(V17_17) => (frontsegP(U16_16, V17_17) <=> ? [W18_18] : ((ssList(W18_18) & =(app(V17_17, W18_18), U16_16)))))))) & ! [U19_19] : ((ssList(U19_19) => ! [V20_20] : ((ssList(V20_20) => (rearsegP(U19_19, V20_20) <=> ? [W21_21] : ((ssList(W21_21) & =(app(W21_21, V20_20), U19_19)))))))) & ! [U22_22] : ((ssList(U22_22) => ! [V23_23] : ((ssList(V23_23) => (segmentP(U22_22, V23_23) <=> ? [W24_24] : ((ssList(W24_24) & ? [X25_25] : ((ssList(X25_25) & =(app(app(W24_24, V23_23), X25_25), U22_22)))))))))) & ! [U26_26] : ((ssList(U26_26) => (cyclefreeP(U26_26) <=> ! [V27_27] : ((ssItem(V27_27) => ! [W28_28] : ((ssItem(W28_28) => ! [X29_29] : ((ssList(X29_29) => ! [Y30_30] : ((ssList(Y30_30) => ! [Z31_31] : ((ssList(Z31_31) => (=(app(app(X29_29, cons(V27_27, Y30_30)), cons(W28_28, Z31_31)), U26_26) => ~(leq(V27_27, W28_28) & leq(W28_28, V27_27)))))))))))))))) & ! [U32_32] : ((ssList(U32_32) => (totalorderP(U32_32) <=> ! [V33_33] : ((ssItem(V33_33) => ! [W34_34] : ((ssItem(W34_34) => ! [X35_35] : ((ssList(X35_35) => ! [Y36_36] : ((ssList(Y36_36) => ! [Z37_37] : ((ssList(Z37_37) => (=(app(app(X35_35, cons(V33_33, Y36_36)), cons(W34_34, Z37_37)), U32_32) => (leq(V33_33, W34_34) | leq(W34_34, V33_33)))))))))))))))) & ! [U38_38] : ((ssList(U38_38) => (strictorderP(U38_38) <=> ! [V39_39] : ((ssItem(V39_39) => ! [W40_40] : ((ssItem(W40_40) => ! [X41_41] : ((ssList(X41_41) => ! [Y42_42] : ((ssList(Y42_42) => ! [Z43_43] : ((ssList(Z43_43) => (=(app(app(X41_41, cons(V39_39, Y42_42)), cons(W40_40, Z43_43)), U38_38) => (lt(V39_39, W40_40) | lt(W40_40, V39_39)))))))))))))))) & ! [U44_44] : ((ssList(U44_44) => (totalorderedP(U44_44) <=> ! [V45_45] : ((ssItem(V45_45) => ! [W46_46] : ((ssItem(W46_46) => ! [X47_47] : ((ssList(X47_47) => ! [Y48_48] : ((ssList(Y48_48) => ! [Z49_49] : ((ssList(Z49_49) => (=(app(app(X47_47, cons(V45_45, Y48_48)), cons(W46_46, Z49_49)), U44_44) => leq(V45_45, W46_46))))))))))))))) & ! [U50_50] : ((ssList(U50_50) => (strictorderedP(U50_50) <=> ! [V51_51] : ((ssItem(V51_51) => ! [W52_52] : ((ssItem(W52_52) => ! [X53_53] : ((ssList(X53_53) => ! [Y54_54] : ((ssList(Y54_54) => ! [Z55_55] : ((ssList(Z55_55) => (=(app(app(X53_53, cons(V51_51, Y54_54)), cons(W52_52, Z55_55)), U50_50) => lt(V51_51, W52_52))))))))))))))) & ! [U56_56] : ((ssList(U56_56) => (duplicatefreeP(U56_56) <=> ! [V57_57] : ((ssItem(V57_57) => ! [W58_58] : ((ssItem(W58_58) => ! [X59_59] : ((ssList(X59_59) => ! [Y60_60] : ((ssList(Y60_60) => ! [Z61_61] : ((ssList(Z61_61) => (=(app(app(X59_59, cons(V57_57, Y60_60)), cons(W58_58, Z61_61)), U56_56) => ~=(V57_57, W58_58))))))))))))))) & ! [U62_62] : ((ssList(U62_62) => (equalelemsP(U62_62) <=> ! [V63_63] : ((ssItem(V63_63) => ! [W64_64] : ((ssItem(W64_64) => ! [X65_65] : ((ssList(X65_65) => ! [Y66_66] : ((ssList(Y66_66) => (=(app(X65_65, cons(V63_63, cons(W64_64, Y66_66))), U62_62) => =(V63_63, W64_64))))))))))))) & ! [U67_67] : ((ssList(U67_67) => ! [V68_68] : ((ssList(V68_68) => (neq(U67_67, V68_68) <=> ~=(U67_67, V68_68)))))) & ! [U69_69] : ((ssList(U69_69) => ! [V70_70] : ((ssItem(V70_70) => ssList(cons(V70_70, U69_69)))))) & ssList(nil) & ! [U71_71] : ((ssList(U71_71) => ! [V72_72] : ((ssItem(V72_72) => ~=(cons(V72_72, U71_71), U71_71))))) & ! [U73_73] : ((ssList(U73_73) => ! [V74_74] : ((ssList(V74_74) => ! [W75_75] : ((ssItem(W75_75) => ! [X76_76] : ((ssItem(X76_76) => (=(cons(W75_75, U73_73), cons(X76_76, V74_74)) => (=(W75_75, X76_76) & =(V74_74, U73_73))))))))))) & ! [U77_77] : ((ssList(U77_77) => (=(nil, U77_77) | ? [V78_78] : ((ssList(V78_78) & ? [W79_79] : ((ssItem(W79_79) & =(cons(W79_79, V78_78), U77_77)))))))) & ! [U80_80] : ((ssList(U80_80) => ! [V81_81] : ((ssItem(V81_81) => ~=(nil, cons(V81_81, U80_80)))))) & ! [U82_82] : ((ssList(U82_82) => (~=(nil, U82_82) => ssItem(hd(U82_82))))) & ! [U83_83] : ((ssList(U83_83) => ! [V84_84] : ((ssItem(V84_84) => =(hd(cons(V84_84, U83_83)), V84_84))))) & ! [U85_85] : ((ssList(U85_85) => (~=(nil, U85_85) => ssList(tl(U85_85))))) & ! [U86_86] : ((ssList(U86_86) => ! [V87_87] : ((ssItem(V87_87) => =(tl(cons(V87_87, U86_86)), U86_86))))) & ! [U88_88] : ((ssList(U88_88) => ! [V89_89] : ((ssList(V89_89) => ssList(app(U88_88, V89_89)))))) & ! [U90_90] : ((ssList(U90_90) => ! [V91_91] : ((ssList(V91_91) => ! [W92_92] : ((ssItem(W92_92) => =(cons(W92_92, app(V91_91, U90_90)), app(cons(W92_92, V91_91), U90_90)))))))) & ! [U93_93] : ((ssList(U93_93) => =(app(nil, U93_93), U93_93))) & ! [U94_94] : ((ssItem(U94_94) => ! [V95_95] : ((ssItem(V95_95) => ((leq(U94_94, V95_95) & leq(V95_95, U94_94)) => =(U94_94, V95_95)))))) & ! [U96_96] : ((ssItem(U96_96) => ! [V97_97] : ((ssItem(V97_97) => ! [W98_98] : ((ssItem(W98_98) => ((leq(U96_96, V97_97) & leq(V97_97, W98_98)) => leq(U96_96, W98_98)))))))) & ! [U99_99] : ((ssItem(U99_99) => leq(U99_99, U99_99))) & ! [U100_100] : ((ssItem(U100_100) => ! [V101_101] : ((ssItem(V101_101) => (geq(U100_100, V101_101) <=> leq(V101_101, U100_100)))))) & ! [U102_102] : ((ssItem(U102_102) => ! [V103_103] : ((ssItem(V103_103) => (lt(U102_102, V103_103) => ~lt(V103_103, U102_102)))))) & ! [U104_104] : ((ssItem(U104_104) => ! [V105_105] : ((ssItem(V105_105) => ! [W106_106] : ((ssItem(W106_106) => ((lt(U104_104, V105_105) & lt(V105_105, W106_106)) => lt(U104_104, W106_106)))))))) & ! [U107_107] : ((ssItem(U107_107) => ! [V108_108] : ((ssItem(V108_108) => (gt(U107_107, V108_108) <=> lt(V108_108, U107_107)))))) & ! [U109_109] : ((ssItem(U109_109) => ! [V110_110] : ((ssList(V110_110) => ! [W111_111] : ((ssList(W111_111) => (memberP(app(V110_110, W111_111), U109_109) <=> (memberP(V110_110, U109_109) | memberP(W111_111, U109_109))))))))) & ! [U112_112] : ((ssItem(U112_112) => ! [V113_113] : ((ssItem(V113_113) => ! [W114_114] : ((ssList(W114_114) => (memberP(cons(V113_113, W114_114), U112_112) <=> (=(U112_112, V113_113) | memberP(W114_114, U112_112))))))))) & ! [U115_115] : ((ssItem(U115_115) => ~memberP(nil, U115_115))) & ~singletonP(nil) & ! [U116_116] : ((ssList(U116_116) => ! [V117_117] : ((ssList(V117_117) => ! [W118_118] : ((ssList(W118_118) => ((frontsegP(U116_116, V117_117) & frontsegP(V117_117, W118_118)) => frontsegP(U116_116, W118_118)))))))) & ! [U119_119] : ((ssList(U119_119) => ! [V120_120] : ((ssList(V120_120) => ((frontsegP(U119_119, V120_120) & frontsegP(V120_120, U119_119)) => =(U119_119, V120_120)))))) & ! [U121_121] : ((ssList(U121_121) => frontsegP(U121_121, U121_121))) & ! [U122_122] : ((ssList(U122_122) => ! [V123_123] : ((ssList(V123_123) => ! [W124_124] : ((ssList(W124_124) => (frontsegP(U122_122, V123_123) => frontsegP(app(U122_122, W124_124), V123_123)))))))) & ! [U125_125] : ((ssItem(U125_125) => ! [V126_126] : ((ssItem(V126_126) => ! [W127_127] : ((ssList(W127_127) => ! [X128_128] : ((ssList(X128_128) => (frontsegP(cons(U125_125, W127_127), cons(V126_126, X128_128)) <=> (=(U125_125, V126_126) & frontsegP(W127_127, X128_128))))))))))) & ! [U129_129] : ((ssList(U129_129) => frontsegP(U129_129, nil))) & ! [U130_130] : ((ssList(U130_130) => (frontsegP(nil, U130_130) <=> =(nil, U130_130)))) & ! [U131_131] : ((ssList(U131_131) => ! [V132_132] : ((ssList(V132_132) => ! [W133_133] : ((ssList(W133_133) => ((rearsegP(U131_131, V132_132) & rearsegP(V132_132, W133_133)) => rearsegP(U131_131, W133_133)))))))) & ! [U134_134] : ((ssList(U134_134) => ! [V135_135] : ((ssList(V135_135) => ((rearsegP(U134_134, V135_135) & rearsegP(V135_135, U134_134)) => =(U134_134, V135_135)))))) & ! [U136_136] : ((ssList(U136_136) => rearsegP(U136_136, U136_136))) & ! [U137_137] : ((ssList(U137_137) => ! [V138_138] : ((ssList(V138_138) => ! [W139_139] : ((ssList(W139_139) => (rearsegP(U137_137, V138_138) => rearsegP(app(W139_139, U137_137), V138_138)))))))) & ! [U140_140] : ((ssList(U140_140) => rearsegP(U140_140, nil))) & ! [U141_141] : ((ssList(U141_141) => (rearsegP(nil, U141_141) <=> =(nil, U141_141)))) & ! [U142_142] : ((ssList(U142_142) => ! [V143_143] : ((ssList(V143_143) => ! [W144_144] : ((ssList(W144_144) => ((segmentP(U142_142, V143_143) & segmentP(V143_143, W144_144)) => segmentP(U142_142, W144_144)))))))) & ! [U145_145] : ((ssList(U145_145) => ! [V146_146] : ((ssList(V146_146) => ((segmentP(U145_145, V146_146) & segmentP(V146_146, U145_145)) => =(U145_145, V146_146)))))) & ! [U147_147] : ((ssList(U147_147) => segmentP(U147_147, U147_147))) & ! [U148_148] : ((ssList(U148_148) => ! [V149_149] : ((ssList(V149_149) => ! [W150_150] : ((ssList(W150_150) => ! [X151_151] : ((ssList(X151_151) => (segmentP(U148_148, V149_149) => segmentP(app(app(W150_150, U148_148), X151_151), V149_149)))))))))) & ! [U152_152] : ((ssList(U152_152) => segmentP(U152_152, nil))) & ! [U153_153] : ((ssList(U153_153) => (segmentP(nil, U153_153) <=> =(nil, U153_153)))) & ! [U154_154] : ((ssItem(U154_154) => cyclefreeP(cons(U154_154, nil)))) & cyclefreeP(nil) & ! [U155_155] : ((ssItem(U155_155) => totalorderP(cons(U155_155, nil)))) & totalorderP(nil) & ! [U156_156] : ((ssItem(U156_156) => strictorderP(cons(U156_156, nil)))) & strictorderP(nil) & ! [U157_157] : ((ssItem(U157_157) => totalorderedP(cons(U157_157, nil)))) & totalorderedP(nil) & ! [U158_158] : ((ssItem(U158_158) => ! [V159_159] : ((ssList(V159_159) => (totalorderedP(cons(U158_158, V159_159)) <=> (=(nil, V159_159) | ((~=(nil, V159_159) & totalorderedP(V159_159)) & leq(U158_158, hd(V159_159))))))))) & ! [U160_160] : ((ssItem(U160_160) => strictorderedP(cons(U160_160, nil)))) & strictorderedP(nil) & ! [U161_161] : ((ssItem(U161_161) => ! [V162_162] : ((ssList(V162_162) => (strictorderedP(cons(U161_161, V162_162)) <=> (=(nil, V162_162) | ((~=(nil, V162_162) & strictorderedP(V162_162)) & lt(U161_161, hd(V162_162))))))))) & ! [U163_163] : ((ssItem(U163_163) => duplicatefreeP(cons(U163_163, nil)))) & duplicatefreeP(nil) & ! [U164_164] : ((ssItem(U164_164) => equalelemsP(cons(U164_164, nil)))) & equalelemsP(nil) & ! [U165_165] : ((ssList(U165_165) => (~=(nil, U165_165) => ? [V166_166] : ((ssItem(V166_166) & =(hd(U165_165), V166_166)))))) & ! [U167_167] : ((ssList(U167_167) => (~=(nil, U167_167) => ? [V168_168] : ((ssList(V168_168) & =(tl(U167_167), V168_168)))))) & ! [U169_169] : ((ssList(U169_169) => ! [V170_170] : ((ssList(V170_170) => ((((~=(nil, V170_170) & ~=(nil, U169_169)) & =(hd(V170_170), hd(U169_169))) & =(tl(V170_170), tl(U169_169))) => =(V170_170, U169_169)))))) & ! [U171_171] : ((ssList(U171_171) => (~=(nil, U171_171) => =(cons(hd(U171_171), tl(U171_171)), U171_171)))) & ! [U172_172] : ((ssList(U172_172) => ! [V173_173] : ((ssList(V173_173) => ! [W174_174] : ((ssList(W174_174) => (=(app(W174_174, V173_173), app(U172_172, V173_173)) => =(W174_174, U172_172)))))))) & ! [U175_175] : ((ssList(U175_175) => ! [V176_176] : ((ssList(V176_176) => ! [W177_177] : ((ssList(W177_177) => (=(app(V176_176, W177_177), app(V176_176, U175_175)) => =(W177_177, U175_175)))))))) & ! [U178_178] : ((ssList(U178_178) => ! [V179_179] : ((ssItem(V179_179) => =(cons(V179_179, U178_178), app(cons(V179_179, nil), U178_178)))))) & ! [U180_180] : ((ssList(U180_180) => ! [V181_181] : ((ssList(V181_181) => ! [W182_182] : ((ssList(W182_182) => =(app(app(U180_180, V181_181), W182_182), app(U180_180, app(V181_181, W182_182))))))))) & ! [U183_183] : ((ssList(U183_183) => ! [V184_184] : ((ssList(V184_184) => (=(nil, app(U183_183, V184_184)) <=> (=(nil, V184_184) & =(nil, U183_183))))))) & ! [U185_185] : ((ssList(U185_185) => =(app(U185_185, nil), U185_185))) & ! [U186_186] : ((ssList(U186_186) => ! [V187_187] : ((ssList(V187_187) => (~=(nil, U186_186) => =(hd(app(U186_186, V187_187)), hd(U186_186))))))) & ! [U188_188] : ((ssList(U188_188) => ! [V189_189] : ((ssList(V189_189) => (~=(nil, U188_188) => =(tl(app(U188_188, V189_189)), app(tl(U188_188), V189_189))))))) & ! [U190_190] : ((ssItem(U190_190) => ! [V191_191] : ((ssItem(V191_191) => ((geq(U190_190, V191_191) & geq(V191_191, U190_190)) => =(U190_190, V191_191)))))) & ! [U192_192] : ((ssItem(U192_192) => ! [V193_193] : ((ssItem(V193_193) => ! [W194_194] : ((ssItem(W194_194) => ((geq(U192_192, V193_193) & geq(V193_193, W194_194)) => geq(U192_192, W194_194)))))))) & ! [U195_195] : ((ssItem(U195_195) => geq(U195_195, U195_195))) & ! [U196_196] : ((ssItem(U196_196) => ~lt(U196_196, U196_196))) & ! [U197_197] : ((ssItem(U197_197) => ! [V198_198] : ((ssItem(V198_198) => ! [W199_199] : ((ssItem(W199_199) => ((leq(U197_197, V198_198) & lt(V198_198, W199_199)) => lt(U197_197, W199_199)))))))) & ! [U200_200] : ((ssItem(U200_200) => ! [V201_201] : ((ssItem(V201_201) => (leq(U200_200, V201_201) => (=(U200_200, V201_201) | lt(U200_200, V201_201))))))) & ! [U202_202] : ((ssItem(U202_202) => ! [V203_203] : ((ssItem(V203_203) => (lt(U202_202, V203_203) <=> (~=(U202_202, V203_203) & leq(U202_202, V203_203))))))) & ! [U204_204] : ((ssItem(U204_204) => ! [V205_205] : ((ssItem(V205_205) => (gt(U204_204, V205_205) => ~gt(V205_205, U204_204)))))) & ! [U206_206] : ((ssItem(U206_206) => ! [V207_207] : ((ssItem(V207_207) => ! [W208_208] : ((ssItem(W208_208) => ((gt(U206_206, V207_207) & gt(V207_207, W208_208)) => gt(U206_206, W208_208)))))))))
% 253.77/68.33 -> [2] ! [U6_6] : ((ssItem(U6_6) => ! [V7_7] : ((ssItem(V7_7) => (neq(U6_6, V7_7) <=> ~=(U6_6, V7_7)))))), ? [U8_8] : ((ssItem(U8_8) & ? [V9_9] : ((ssItem(V9_9) & ~=(U8_8, V9_9))))), ! [U10_10] : ((ssList(U10_10) => ! [V11_11] : ((ssItem(V11_11) => (memberP(U10_10, V11_11) <=> ? [W12_12] : ((ssList(W12_12) & ? [X13_13] : ((ssList(X13_13) & =(app(W12_12, cons(V11_11, X13_13)), U10_10)))))))))), ! [U14_14] : ((ssList(U14_14) => (singletonP(U14_14) <=> ? [V15_15] : ((ssItem(V15_15) & =(cons(V15_15, nil), U14_14)))))), ! [U16_16] : ((ssList(U16_16) => ! [V17_17] : ((ssList(V17_17) => (frontsegP(U16_16, V17_17) <=> ? [W18_18] : ((ssList(W18_18) & =(app(V17_17, W18_18), U16_16)))))))), ! [U19_19] : ((ssList(U19_19) => ! [V20_20] : ((ssList(V20_20) => (rearsegP(U19_19, V20_20) <=> ? [W21_21] : ((ssList(W21_21) & =(app(W21_21, V20_20), U19_19)))))))), ! [U22_22] : ((ssList(U22_22) => ! [V23_23] : ((ssList(V23_23) => (segmentP(U22_22, V23_23) <=> ? [W24_24] : ((ssList(W24_24) & ? [X25_25] : ((ssList(X25_25) & =(app(app(W24_24, V23_23), X25_25), U22_22)))))))))), ! [U26_26] : ((ssList(U26_26) => (cyclefreeP(U26_26) <=> ! [V27_27] : ((ssItem(V27_27) => ! [W28_28] : ((ssItem(W28_28) => ! [X29_29] : ((ssList(X29_29) => ! [Y30_30] : ((ssList(Y30_30) => ! [Z31_31] : ((ssList(Z31_31) => (=(app(app(X29_29, cons(V27_27, Y30_30)), cons(W28_28, Z31_31)), U26_26) => ~(leq(V27_27, W28_28) & leq(W28_28, V27_27)))))))))))))))), ! [U32_32] : ((ssList(U32_32) => (totalorderP(U32_32) <=> ! [V33_33] : ((ssItem(V33_33) => ! [W34_34] : ((ssItem(W34_34) => ! [X35_35] : ((ssList(X35_35) => ! [Y36_36] : ((ssList(Y36_36) => ! [Z37_37] : ((ssList(Z37_37) => (=(app(app(X35_35, cons(V33_33, Y36_36)), cons(W34_34, Z37_37)), U32_32) => (leq(V33_33, W34_34) | leq(W34_34, V33_33)))))))))))))))), ! [U38_38] : ((ssList(U38_38) => (strictorderP(U38_38) <=> ! [V39_39] : ((ssItem(V39_39) => ! [W40_40] : ((ssItem(W40_40) => ! [X41_41] : ((ssList(X41_41) => ! [Y42_42] : ((ssList(Y42_42) => ! [Z43_43] : ((ssList(Z43_43) => (=(app(app(X41_41, cons(V39_39, Y42_42)), cons(W40_40, Z43_43)), U38_38) => (lt(V39_39, W40_40) | lt(W40_40, V39_39)))))))))))))))), ! [U44_44] : ((ssList(U44_44) => (totalorderedP(U44_44) <=> ! [V45_45] : ((ssItem(V45_45) => ! [W46_46] : ((ssItem(W46_46) => ! [X47_47] : ((ssList(X47_47) => ! [Y48_48] : ((ssList(Y48_48) => ! [Z49_49] : ((ssList(Z49_49) => (=(app(app(X47_47, cons(V45_45, Y48_48)), cons(W46_46, Z49_49)), U44_44) => leq(V45_45, W46_46))))))))))))))), ! [U50_50] : ((ssList(U50_50) => (strictorderedP(U50_50) <=> ! [V51_51] : ((ssItem(V51_51) => ! [W52_52] : ((ssItem(W52_52) => ! [X53_53] : ((ssList(X53_53) => ! [Y54_54] : ((ssList(Y54_54) => ! [Z55_55] : ((ssList(Z55_55) => (=(app(app(X53_53, cons(V51_51, Y54_54)), cons(W52_52, Z55_55)), U50_50) => lt(V51_51, W52_52))))))))))))))), ! [U56_56] : ((ssList(U56_56) => (duplicatefreeP(U56_56) <=> ! [V57_57] : ((ssItem(V57_57) => ! [W58_58] : ((ssItem(W58_58) => ! [X59_59] : ((ssList(X59_59) => ! [Y60_60] : ((ssList(Y60_60) => ! [Z61_61] : ((ssList(Z61_61) => (=(app(app(X59_59, cons(V57_57, Y60_60)), cons(W58_58, Z61_61)), U56_56) => ~=(V57_57, W58_58))))))))))))))), ! [U62_62] : ((ssList(U62_62) => (equalelemsP(U62_62) <=> ! [V63_63] : ((ssItem(V63_63) => ! [W64_64] : ((ssItem(W64_64) => ! [X65_65] : ((ssList(X65_65) => ! [Y66_66] : ((ssList(Y66_66) => (=(app(X65_65, cons(V63_63, cons(W64_64, Y66_66))), U62_62) => =(V63_63, W64_64))))))))))))), ! [U67_67] : ((ssList(U67_67) => ! [V68_68] : ((ssList(V68_68) => (neq(U67_67, V68_68) <=> ~=(U67_67, V68_68)))))), ! [U69_69] : ((ssList(U69_69) => ! [V70_70] : ((ssItem(V70_70) => ssList(cons(V70_70, U69_69)))))), ssList(nil), ! [U71_71] : ((ssList(U71_71) => ! [V72_72] : ((ssItem(V72_72) => ~=(cons(V72_72, U71_71), U71_71))))), ! [U73_73] : ((ssList(U73_73) => ! [V74_74] : ((ssList(V74_74) => ! [W75_75] : ((ssItem(W75_75) => ! [X76_76] : ((ssItem(X76_76) => (=(cons(W75_75, U73_73), cons(X76_76, V74_74)) => (=(W75_75, X76_76) & =(V74_74, U73_73))))))))))), ! [U77_77] : ((ssList(U77_77) => (=(nil, U77_77) | ? [V78_78] : ((ssList(V78_78) & ? [W79_79] : ((ssItem(W79_79) & =(cons(W79_79, V78_78), U77_77)))))))), ! [U80_80] : ((ssList(U80_80) => ! [V81_81] : ((ssItem(V81_81) => ~=(nil, cons(V81_81, U80_80)))))), ! [U82_82] : ((ssList(U82_82) => (~=(nil, U82_82) => ssItem(hd(U82_82))))), ! [U83_83] : ((ssList(U83_83) => ! [V84_84] : ((ssItem(V84_84) => =(hd(cons(V84_84, U83_83)), V84_84))))), ! [U85_85] : ((ssList(U85_85) => (~=(nil, U85_85) => ssList(tl(U85_85))))), ! [U86_86] : ((ssList(U86_86) => ! [V87_87] : ((ssItem(V87_87) => =(tl(cons(V87_87, U86_86)), U86_86))))), ! [U88_88] : ((ssList(U88_88) => ! [V89_89] : ((ssList(V89_89) => ssList(app(U88_88, V89_89)))))), ! [U90_90] : ((ssList(U90_90) => ! [V91_91] : ((ssList(V91_91) => ! [W92_92] : ((ssItem(W92_92) => =(cons(W92_92, app(V91_91, U90_90)), app(cons(W92_92, V91_91), U90_90)))))))), ! [U93_93] : ((ssList(U93_93) => =(app(nil, U93_93), U93_93))), ! [U94_94] : ((ssItem(U94_94) => ! [V95_95] : ((ssItem(V95_95) => ((leq(U94_94, V95_95) & leq(V95_95, U94_94)) => =(U94_94, V95_95)))))), ! [U96_96] : ((ssItem(U96_96) => ! [V97_97] : ((ssItem(V97_97) => ! [W98_98] : ((ssItem(W98_98) => ((leq(U96_96, V97_97) & leq(V97_97, W98_98)) => leq(U96_96, W98_98)))))))), ! [U99_99] : ((ssItem(U99_99) => leq(U99_99, U99_99))), ! [U100_100] : ((ssItem(U100_100) => ! [V101_101] : ((ssItem(V101_101) => (geq(U100_100, V101_101) <=> leq(V101_101, U100_100)))))), ! [U102_102] : ((ssItem(U102_102) => ! [V103_103] : ((ssItem(V103_103) => (lt(U102_102, V103_103) => ~lt(V103_103, U102_102)))))), ! [U104_104] : ((ssItem(U104_104) => ! [V105_105] : ((ssItem(V105_105) => ! [W106_106] : ((ssItem(W106_106) => ((lt(U104_104, V105_105) & lt(V105_105, W106_106)) => lt(U104_104, W106_106)))))))), ! [U107_107] : ((ssItem(U107_107) => ! [V108_108] : ((ssItem(V108_108) => (gt(U107_107, V108_108) <=> lt(V108_108, U107_107)))))), ! [U109_109] : ((ssItem(U109_109) => ! [V110_110] : ((ssList(V110_110) => ! [W111_111] : ((ssList(W111_111) => (memberP(app(V110_110, W111_111), U109_109) <=> (memberP(V110_110, U109_109) | memberP(W111_111, U109_109))))))))), ! [U112_112] : ((ssItem(U112_112) => ! [V113_113] : ((ssItem(V113_113) => ! [W114_114] : ((ssList(W114_114) => (memberP(cons(V113_113, W114_114), U112_112) <=> (=(U112_112, V113_113) | memberP(W114_114, U112_112))))))))), ! [U115_115] : ((ssItem(U115_115) => ~memberP(nil, U115_115))), ~singletonP(nil), ! [U116_116] : ((ssList(U116_116) => ! [V117_117] : ((ssList(V117_117) => ! [W118_118] : ((ssList(W118_118) => ((frontsegP(U116_116, V117_117) & frontsegP(V117_117, W118_118)) => frontsegP(U116_116, W118_118)))))))), ! [U119_119] : ((ssList(U119_119) => ! [V120_120] : ((ssList(V120_120) => ((frontsegP(U119_119, V120_120) & frontsegP(V120_120, U119_119)) => =(U119_119, V120_120)))))), ! [U121_121] : ((ssList(U121_121) => frontsegP(U121_121, U121_121))), ! [U122_122] : ((ssList(U122_122) => ! [V123_123] : ((ssList(V123_123) => ! [W124_124] : ((ssList(W124_124) => (frontsegP(U122_122, V123_123) => frontsegP(app(U122_122, W124_124), V123_123)))))))), ! [U125_125] : ((ssItem(U125_125) => ! [V126_126] : ((ssItem(V126_126) => ! [W127_127] : ((ssList(W127_127) => ! [X128_128] : ((ssList(X128_128) => (frontsegP(cons(U125_125, W127_127), cons(V126_126, X128_128)) <=> (=(U125_125, V126_126) & frontsegP(W127_127, X128_128))))))))))), ! [U129_129] : ((ssList(U129_129) => frontsegP(U129_129, nil))), ! [U130_130] : ((ssList(U130_130) => (frontsegP(nil, U130_130) <=> =(nil, U130_130)))), ! [U131_131] : ((ssList(U131_131) => ! [V132_132] : ((ssList(V132_132) => ! [W133_133] : ((ssList(W133_133) => ((rearsegP(U131_131, V132_132) & rearsegP(V132_132, W133_133)) => rearsegP(U131_131, W133_133)))))))), ! [U134_134] : ((ssList(U134_134) => ! [V135_135] : ((ssList(V135_135) => ((rearsegP(U134_134, V135_135) & rearsegP(V135_135, U134_134)) => =(U134_134, V135_135)))))), ! [U136_136] : ((ssList(U136_136) => rearsegP(U136_136, U136_136))), ! [U137_137] : ((ssList(U137_137) => ! [V138_138] : ((ssList(V138_138) => ! [W139_139] : ((ssList(W139_139) => (rearsegP(U137_137, V138_138) => rearsegP(app(W139_139, U137_137), V138_138)))))))), ! [U140_140] : ((ssList(U140_140) => rearsegP(U140_140, nil))), ! [U141_141] : ((ssList(U141_141) => (rearsegP(nil, U141_141) <=> =(nil, U141_141)))), ! [U142_142] : ((ssList(U142_142) => ! [V143_143] : ((ssList(V143_143) => ! [W144_144] : ((ssList(W144_144) => ((segmentP(U142_142, V143_143) & segmentP(V143_143, W144_144)) => segmentP(U142_142, W144_144)))))))), ! [U145_145] : ((ssList(U145_145) => ! [V146_146] : ((ssList(V146_146) => ((segmentP(U145_145, V146_146) & segmentP(V146_146, U145_145)) => =(U145_145, V146_146)))))), ! [U147_147] : ((ssList(U147_147) => segmentP(U147_147, U147_147))), ! [U148_148] : ((ssList(U148_148) => ! [V149_149] : ((ssList(V149_149) => ! [W150_150] : ((ssList(W150_150) => ! [X151_151] : ((ssList(X151_151) => (segmentP(U148_148, V149_149) => segmentP(app(app(W150_150, U148_148), X151_151), V149_149)))))))))), ! [U152_152] : ((ssList(U152_152) => segmentP(U152_152, nil))), ! [U153_153] : ((ssList(U153_153) => (segmentP(nil, U153_153) <=> =(nil, U153_153)))), ! [U154_154] : ((ssItem(U154_154) => cyclefreeP(cons(U154_154, nil)))), cyclefreeP(nil), ! [U155_155] : ((ssItem(U155_155) => totalorderP(cons(U155_155, nil)))), totalorderP(nil), ! [U156_156] : ((ssItem(U156_156) => strictorderP(cons(U156_156, nil)))), strictorderP(nil), ! [U157_157] : ((ssItem(U157_157) => totalorderedP(cons(U157_157, nil)))), totalorderedP(nil), ! [U158_158] : ((ssItem(U158_158) => ! [V159_159] : ((ssList(V159_159) => (totalorderedP(cons(U158_158, V159_159)) <=> (=(nil, V159_159) | ((~=(nil, V159_159) & totalorderedP(V159_159)) & leq(U158_158, hd(V159_159))))))))), ! [U160_160] : ((ssItem(U160_160) => strictorderedP(cons(U160_160, nil)))), strictorderedP(nil), ! [U161_161] : ((ssItem(U161_161) => ! [V162_162] : ((ssList(V162_162) => (strictorderedP(cons(U161_161, V162_162)) <=> (=(nil, V162_162) | ((~=(nil, V162_162) & strictorderedP(V162_162)) & lt(U161_161, hd(V162_162))))))))), ! [U163_163] : ((ssItem(U163_163) => duplicatefreeP(cons(U163_163, nil)))), duplicatefreeP(nil), ! [U164_164] : ((ssItem(U164_164) => equalelemsP(cons(U164_164, nil)))), equalelemsP(nil), ! [U165_165] : ((ssList(U165_165) => (~=(nil, U165_165) => ? [V166_166] : ((ssItem(V166_166) & =(hd(U165_165), V166_166)))))), ! [U167_167] : ((ssList(U167_167) => (~=(nil, U167_167) => ? [V168_168] : ((ssList(V168_168) & =(tl(U167_167), V168_168)))))), ! [U169_169] : ((ssList(U169_169) => ! [V170_170] : ((ssList(V170_170) => ((((~=(nil, V170_170) & ~=(nil, U169_169)) & =(hd(V170_170), hd(U169_169))) & =(tl(V170_170), tl(U169_169))) => =(V170_170, U169_169)))))), ! [U171_171] : ((ssList(U171_171) => (~=(nil, U171_171) => =(cons(hd(U171_171), tl(U171_171)), U171_171)))), ! [U172_172] : ((ssList(U172_172) => ! [V173_173] : ((ssList(V173_173) => ! [W174_174] : ((ssList(W174_174) => (=(app(W174_174, V173_173), app(U172_172, V173_173)) => =(W174_174, U172_172)))))))), ! [U175_175] : ((ssList(U175_175) => ! [V176_176] : ((ssList(V176_176) => ! [W177_177] : ((ssList(W177_177) => (=(app(V176_176, W177_177), app(V176_176, U175_175)) => =(W177_177, U175_175)))))))), ! [U178_178] : ((ssList(U178_178) => ! [V179_179] : ((ssItem(V179_179) => =(cons(V179_179, U178_178), app(cons(V179_179, nil), U178_178)))))), ! [U180_180] : ((ssList(U180_180) => ! [V181_181] : ((ssList(V181_181) => ! [W182_182] : ((ssList(W182_182) => =(app(app(U180_180, V181_181), W182_182), app(U180_180, app(V181_181, W182_182))))))))), ! [U183_183] : ((ssList(U183_183) => ! [V184_184] : ((ssList(V184_184) => (=(nil, app(U183_183, V184_184)) <=> (=(nil, V184_184) & =(nil, U183_183))))))), ! [U185_185] : ((ssList(U185_185) => =(app(U185_185, nil), U185_185))), ! [U186_186] : ((ssList(U186_186) => ! [V187_187] : ((ssList(V187_187) => (~=(nil, U186_186) => =(hd(app(U186_186, V187_187)), hd(U186_186))))))), ! [U188_188] : ((ssList(U188_188) => ! [V189_189] : ((ssList(V189_189) => (~=(nil, U188_188) => =(tl(app(U188_188, V189_189)), app(tl(U188_188), V189_189))))))), ! [U190_190] : ((ssItem(U190_190) => ! [V191_191] : ((ssItem(V191_191) => ((geq(U190_190, V191_191) & geq(V191_191, U190_190)) => =(U190_190, V191_191)))))), ! [U192_192] : ((ssItem(U192_192) => ! [V193_193] : ((ssItem(V193_193) => ! [W194_194] : ((ssItem(W194_194) => ((geq(U192_192, V193_193) & geq(V193_193, W194_194)) => geq(U192_192, W194_194)))))))), ! [U195_195] : ((ssItem(U195_195) => geq(U195_195, U195_195))), ! [U196_196] : ((ssItem(U196_196) => ~lt(U196_196, U196_196))), ! [U197_197] : ((ssItem(U197_197) => ! [V198_198] : ((ssItem(V198_198) => ! [W199_199] : ((ssItem(W199_199) => ((leq(U197_197, V198_198) & lt(V198_198, W199_199)) => lt(U197_197, W199_199)))))))), ! [U200_200] : ((ssItem(U200_200) => ! [V201_201] : ((ssItem(V201_201) => (leq(U200_200, V201_201) => (=(U200_200, V201_201) | lt(U200_200, V201_201))))))), ! [U202_202] : ((ssItem(U202_202) => ! [V203_203] : ((ssItem(V203_203) => (lt(U202_202, V203_203) <=> (~=(U202_202, V203_203) & leq(U202_202, V203_203))))))), ! [U204_204] : ((ssItem(U204_204) => ! [V205_205] : ((ssItem(V205_205) => (gt(U204_204, V205_205) => ~gt(V205_205, U204_204)))))), ! [U206_206] : ((ssItem(U206_206) => ! [V207_207] : ((ssItem(V207_207) => ! [W208_208] : ((ssItem(W208_208) => ((gt(U206_206, V207_207) & gt(V207_207, W208_208)) => gt(U206_206, W208_208))))))))
% 253.77/68.33
% 253.77/68.33 [2] DELTA_NOT_FORALL : ~! [U209_209] : ((ssList(U209_209) => ! [V210_210] : ((ssList(V210_210) => ! [W211_211] : ((ssList(W211_211) => ! [X212_212] : (((((~ssList(X212_212) | ~=(V210_210, X212_212)) | ~=(U209_209, W211_211)) | strictorderedP(U209_209)) | (! [Y213_213] : (((~ssItem(Y213_213) | ~=(cons(Y213_213, nil), W211_211)) | ~memberP(X212_212, Y213_213))) & (~=(nil, X212_212) | ~=(nil, W211_211)))))))))))
% 253.77/68.33 -> [3] ~(ssList(skolem_U209209) => ! [V210_210] : ((ssList(V210_210) => ! [W211_211] : ((ssList(W211_211) => ! [X212_212] : (((((~ssList(X212_212) | ~=(V210_210, X212_212)) | ~=(skolem_U209209, W211_211)) | strictorderedP(skolem_U209209)) | (! [Y213_213] : (((~ssItem(Y213_213) | ~=(cons(Y213_213, nil), W211_211)) | ~memberP(X212_212, Y213_213))) & (~=(nil, X212_212) | ~=(nil, W211_211))))))))))
% 253.77/68.33
% 253.77/68.33 [3] ALPHA_NOT_IMPLY : ~(ssList(skolem_U209209) => ! [V210_210] : ((ssList(V210_210) => ! [W211_211] : ((ssList(W211_211) => ! [X212_212] : (((((~ssList(X212_212) | ~=(V210_210, X212_212)) | ~=(skolem_U209209, W211_211)) | strictorderedP(skolem_U209209)) | (! [Y213_213] : (((~ssItem(Y213_213) | ~=(cons(Y213_213, nil), W211_211)) | ~memberP(X212_212, Y213_213))) & (~=(nil, X212_212) | ~=(nil, W211_211))))))))))
% 253.77/68.33 -> [4] ssList(skolem_U209209), ~! [V210_210] : ((ssList(V210_210) => ! [W211_211] : ((ssList(W211_211) => ! [X212_212] : (((((~ssList(X212_212) | ~=(V210_210, X212_212)) | ~=(skolem_U209209, W211_211)) | strictorderedP(skolem_U209209)) | (! [Y213_213] : (((~ssItem(Y213_213) | ~=(cons(Y213_213, nil), W211_211)) | ~memberP(X212_212, Y213_213))) & (~=(nil, X212_212) | ~=(nil, W211_211)))))))))
% 253.77/68.33
% 253.77/68.33 [4] DELTA_EXISTS : ? [U8_8] : ((ssItem(U8_8) & ? [V9_9] : ((ssItem(V9_9) & ~=(U8_8, V9_9)))))
% 253.77/68.33 -> [5] (ssItem(skolem_U88) & ? [V9_9] : ((ssItem(V9_9) & ~=(skolem_U88, V9_9))))
% 253.77/68.33
% 253.77/68.33 [5] ALPHA_AND : (ssItem(skolem_U88) & ? [V9_9] : ((ssItem(V9_9) & ~=(skolem_U88, V9_9))))
% 253.77/68.33 -> [6] ssItem(skolem_U88), ? [V9_9] : ((ssItem(V9_9) & ~=(skolem_U88, V9_9)))
% 253.77/68.33
% 253.77/68.33 [6] DELTA_NOT_FORALL : ~! [V210_210] : ((ssList(V210_210) => ! [W211_211] : ((ssList(W211_211) => ! [X212_212] : (((((~ssList(X212_212) | ~=(V210_210, X212_212)) | ~=(skolem_U209209, W211_211)) | strictorderedP(skolem_U209209)) | (! [Y213_213] : (((~ssItem(Y213_213) | ~=(cons(Y213_213, nil), W211_211)) | ~memberP(X212_212, Y213_213))) & (~=(nil, X212_212) | ~=(nil, W211_211)))))))))
% 253.77/68.33 -> [7] ~(ssList(skolem_V210210) => ! [W211_211] : ((ssList(W211_211) => ! [X212_212] : (((((~ssList(X212_212) | ~=(skolem_V210210, X212_212)) | ~=(skolem_U209209, W211_211)) | strictorderedP(skolem_U209209)) | (! [Y213_213] : (((~ssItem(Y213_213) | ~=(cons(Y213_213, nil), W211_211)) | ~memberP(X212_212, Y213_213))) & (~=(nil, X212_212) | ~=(nil, W211_211))))))))
% 253.77/68.33
% 253.77/68.33 [7] ALPHA_NOT_IMPLY : ~(ssList(skolem_V210210) => ! [W211_211] : ((ssList(W211_211) => ! [X212_212] : (((((~ssList(X212_212) | ~=(skolem_V210210, X212_212)) | ~=(skolem_U209209, W211_211)) | strictorderedP(skolem_U209209)) | (! [Y213_213] : (((~ssItem(Y213_213) | ~=(cons(Y213_213, nil), W211_211)) | ~memberP(X212_212, Y213_213))) & (~=(nil, X212_212) | ~=(nil, W211_211))))))))
% 253.77/68.33 -> [8] ssList(skolem_V210210), ~! [W211_211] : ((ssList(W211_211) => ! [X212_212] : (((((~ssList(X212_212) | ~=(skolem_V210210, X212_212)) | ~=(skolem_U209209, W211_211)) | strictorderedP(skolem_U209209)) | (! [Y213_213] : (((~ssItem(Y213_213) | ~=(cons(Y213_213, nil), W211_211)) | ~memberP(X212_212, Y213_213))) & (~=(nil, X212_212) | ~=(nil, W211_211)))))))
% 253.77/68.33
% 253.77/68.33 [8] DELTA_EXISTS : ? [V9_9] : ((ssItem(V9_9) & ~=(skolem_U88, V9_9)))
% 253.77/68.33 -> [9] (ssItem(skolem_V99) & ~=(skolem_U88, skolem_V99))
% 253.77/68.33
% 253.77/68.33 [9] ALPHA_AND : (ssItem(skolem_V99) & ~=(skolem_U88, skolem_V99))
% 253.77/68.33 -> [10] ssItem(skolem_V99), ~=(skolem_U88, skolem_V99)
% 253.77/68.33
% 253.77/68.33 [10] DELTA_NOT_FORALL : ~! [W211_211] : ((ssList(W211_211) => ! [X212_212] : (((((~ssList(X212_212) | ~=(skolem_V210210, X212_212)) | ~=(skolem_U209209, W211_211)) | strictorderedP(skolem_U209209)) | (! [Y213_213] : (((~ssItem(Y213_213) | ~=(cons(Y213_213, nil), W211_211)) | ~memberP(X212_212, Y213_213))) & (~=(nil, X212_212) | ~=(nil, W211_211)))))))
% 253.77/68.33 -> [11] ~(ssList(skolem_W211211) => ! [X212_212] : (((((~ssList(X212_212) | ~=(skolem_V210210, X212_212)) | ~=(skolem_U209209, skolem_W211211)) | strictorderedP(skolem_U209209)) | (! [Y213_213] : (((~ssItem(Y213_213) | ~=(cons(Y213_213, nil), skolem_W211211)) | ~memberP(X212_212, Y213_213))) & (~=(nil, X212_212) | ~=(nil, skolem_W211211))))))
% 253.77/68.33
% 253.77/68.33 [11] ALPHA_NOT_IMPLY : ~(ssList(skolem_W211211) => ! [X212_212] : (((((~ssList(X212_212) | ~=(skolem_V210210, X212_212)) | ~=(skolem_U209209, skolem_W211211)) | strictorderedP(skolem_U209209)) | (! [Y213_213] : (((~ssItem(Y213_213) | ~=(cons(Y213_213, nil), skolem_W211211)) | ~memberP(X212_212, Y213_213))) & (~=(nil, X212_212) | ~=(nil, skolem_W211211))))))
% 253.77/68.33 -> [12] ssList(skolem_W211211), ~! [X212_212] : (((((~ssList(X212_212) | ~=(skolem_V210210, X212_212)) | ~=(skolem_U209209, skolem_W211211)) | strictorderedP(skolem_U209209)) | (! [Y213_213] : (((~ssItem(Y213_213) | ~=(cons(Y213_213, nil), skolem_W211211)) | ~memberP(X212_212, Y213_213))) & (~=(nil, X212_212) | ~=(nil, skolem_W211211)))))
% 253.77/68.33
% 253.77/68.33 [12] DELTA_NOT_FORALL : ~! [X212_212] : (((((~ssList(X212_212) | ~=(skolem_V210210, X212_212)) | ~=(skolem_U209209, skolem_W211211)) | strictorderedP(skolem_U209209)) | (! [Y213_213] : (((~ssItem(Y213_213) | ~=(cons(Y213_213, nil), skolem_W211211)) | ~memberP(X212_212, Y213_213))) & (~=(nil, X212_212) | ~=(nil, skolem_W211211)))))
% 253.77/68.33 -> [13] ~((((~ssList(skolem_X212212) | ~=(skolem_V210210, skolem_X212212)) | ~=(skolem_U209209, skolem_W211211)) | strictorderedP(skolem_U209209)) | (! [Y213_213] : (((~ssItem(Y213_213) | ~=(cons(Y213_213, nil), skolem_W211211)) | ~memberP(skolem_X212212, Y213_213))) & (~=(nil, skolem_X212212) | ~=(nil, skolem_W211211))))
% 253.77/68.33
% 253.77/68.33 [13] ALPHA_NOT_OR : ~((((~ssList(skolem_X212212) | ~=(skolem_V210210, skolem_X212212)) | ~=(skolem_U209209, skolem_W211211)) | strictorderedP(skolem_U209209)) | (! [Y213_213] : (((~ssItem(Y213_213) | ~=(cons(Y213_213, nil), skolem_W211211)) | ~memberP(skolem_X212212, Y213_213))) & (~=(nil, skolem_X212212) | ~=(nil, skolem_W211211))))
% 253.77/68.33 -> [14] ~(((~ssList(skolem_X212212) | ~=(skolem_V210210, skolem_X212212)) | ~=(skolem_U209209, skolem_W211211)) | strictorderedP(skolem_U209209)), ~(! [Y213_213] : (((~ssItem(Y213_213) | ~=(cons(Y213_213, nil), skolem_W211211)) | ~memberP(skolem_X212212, Y213_213))) & (~=(nil, skolem_X212212) | ~=(nil, skolem_W211211)))
% 253.77/68.33
% 253.77/68.33 [14] ALPHA_NOT_OR : ~(((~ssList(skolem_X212212) | ~=(skolem_V210210, skolem_X212212)) | ~=(skolem_U209209, skolem_W211211)) | strictorderedP(skolem_U209209))
% 253.77/68.33 -> [15] ~((~ssList(skolem_X212212) | ~=(skolem_V210210, skolem_X212212)) | ~=(skolem_U209209, skolem_W211211)), ~strictorderedP(skolem_U209209)
% 253.77/68.33
% 253.77/68.33 [15] ALPHA_NOT_OR : ~((~ssList(skolem_X212212) | ~=(skolem_V210210, skolem_X212212)) | ~=(skolem_U209209, skolem_W211211))
% 253.77/68.33 -> [16] ~(~ssList(skolem_X212212) | ~=(skolem_V210210, skolem_X212212)), ~~=(skolem_U209209, skolem_W211211)
% 253.77/68.33
% 253.77/68.33 [16] ALPHA_NOT_OR : ~(~ssList(skolem_X212212) | ~=(skolem_V210210, skolem_X212212))
% 253.77/68.33 -> [17] ~~ssList(skolem_X212212), ~~=(skolem_V210210, skolem_X212212)
% 253.77/68.33
% 253.77/68.33 [17] ALPHA_NOT_NOT : ~~=(skolem_U209209, skolem_W211211)
% 253.77/68.33 -> [18] =(skolem_U209209, skolem_W211211)
% 253.77/68.33
% 253.77/68.33 [18] ALPHA_NOT_NOT : ~~ssList(skolem_X212212)
% 253.77/68.33 -> [19] ssList(skolem_X212212)
% 253.77/68.33
% 253.77/68.33 [19] ALPHA_NOT_NOT : ~~=(skolem_V210210, skolem_X212212)
% 253.77/68.33 -> [20] =(skolem_V210210, skolem_X212212)
% 253.77/68.33
% 253.77/68.33 [20] BETA_NOT_AND : ~(! [Y213_213] : (((~ssItem(Y213_213) | ~=(cons(Y213_213, nil), skolem_W211211)) | ~memberP(skolem_X212212, Y213_213))) & (~=(nil, skolem_X212212) | ~=(nil, skolem_W211211)))
% 253.77/68.33 -> [21] ~! [Y213_213] : (((~ssItem(Y213_213) | ~=(cons(Y213_213, nil), skolem_W211211)) | ~memberP(skolem_X212212, Y213_213)))
% 253.77/68.33 -> [22] ~(~=(nil, skolem_X212212) | ~=(nil, skolem_W211211))
% 253.77/68.33
% 253.77/68.33 [22] ALPHA_NOT_OR : ~(~=(nil, skolem_X212212) | ~=(nil, skolem_W211211))
% 253.77/68.33 -> [24] ~~=(nil, skolem_X212212), ~~=(nil, skolem_W211211)
% 253.77/68.33
% 253.77/68.33 [24] ALPHA_NOT_NOT : ~~=(nil, skolem_X212212)
% 253.77/68.33 -> [26] =(nil, skolem_X212212)
% 253.77/68.33
% 253.77/68.33 [26] ALPHA_NOT_NOT : ~~=(nil, skolem_W211211)
% 253.77/68.33 -> [30] =(nil, skolem_W211211)
% 253.77/68.33
% 253.77/68.33 [30] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [21] DELTA_NOT_FORALL : ~! [Y213_213] : (((~ssItem(Y213_213) | ~=(cons(Y213_213, nil), skolem_W211211)) | ~memberP(skolem_X212212, Y213_213)))
% 253.77/68.33 -> [23] ~((~ssItem(skolem_Y213213) | ~=(cons(skolem_Y213213, nil), skolem_W211211)) | ~memberP(skolem_X212212, skolem_Y213213))
% 253.77/68.33
% 253.77/68.33 [23] ALPHA_NOT_OR : ~((~ssItem(skolem_Y213213) | ~=(cons(skolem_Y213213, nil), skolem_W211211)) | ~memberP(skolem_X212212, skolem_Y213213))
% 253.77/68.33 -> [25] ~(~ssItem(skolem_Y213213) | ~=(cons(skolem_Y213213, nil), skolem_W211211)), ~~memberP(skolem_X212212, skolem_Y213213)
% 253.77/68.33
% 253.77/68.33 [25] ALPHA_NOT_OR : ~(~ssItem(skolem_Y213213) | ~=(cons(skolem_Y213213, nil), skolem_W211211))
% 253.77/68.33 -> [27] ~~ssItem(skolem_Y213213), ~~=(cons(skolem_Y213213, nil), skolem_W211211)
% 253.77/68.33
% 253.77/68.33 [27] ALPHA_NOT_NOT : ~~memberP(skolem_X212212, skolem_Y213213)
% 253.77/68.33 -> [28] memberP(skolem_X212212, skolem_Y213213)
% 253.77/68.33
% 253.77/68.33 [28] ALPHA_NOT_NOT : ~~ssItem(skolem_Y213213)
% 253.77/68.33 -> [29] ssItem(skolem_Y213213)
% 253.77/68.33
% 253.77/68.33 [29] ALPHA_NOT_NOT : ~~=(cons(skolem_Y213213, nil), skolem_W211211)
% 253.77/68.33 -> [31] =(cons(skolem_Y213213, nil), skolem_W211211)
% 253.77/68.33
% 253.77/68.33 [31] GAMMA_FORALL : ! [U6_6] : ((ssItem(U6_6) => ! [V7_7] : ((ssItem(V7_7) => (neq(U6_6, V7_7) <=> ~=(U6_6, V7_7))))))
% 253.77/68.33 -> [32] (ssItem(skolem_Y213213) => ! [V7_7] : ((ssItem(V7_7) => (neq(skolem_Y213213, V7_7) <=> ~=(skolem_Y213213, V7_7)))))
% 253.77/68.33
% 253.77/68.33 [32] BETA_IMPLY : (ssItem(skolem_Y213213) => ! [V7_7] : ((ssItem(V7_7) => (neq(skolem_Y213213, V7_7) <=> ~=(skolem_Y213213, V7_7)))))
% 253.77/68.33 -> [33] ~ssItem(skolem_Y213213)
% 253.77/68.33 -> [34] ! [V7_7] : ((ssItem(V7_7) => (neq(skolem_Y213213, V7_7) <=> ~=(skolem_Y213213, V7_7))))
% 253.77/68.33
% 253.77/68.33 [33] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [34] GAMMA_FORALL : ! [U10_10] : ((ssList(U10_10) => ! [V11_11] : ((ssItem(V11_11) => (memberP(U10_10, V11_11) <=> ? [W12_12] : ((ssList(W12_12) & ? [X13_13] : ((ssList(X13_13) & =(app(W12_12, cons(V11_11, X13_13)), U10_10))))))))))
% 253.77/68.33 -> [35] (ssList(skolem_U209209) => ! [V11_11] : ((ssItem(V11_11) => (memberP(skolem_U209209, V11_11) <=> ? [W12_12] : ((ssList(W12_12) & ? [X13_13] : ((ssList(X13_13) & =(app(W12_12, cons(V11_11, X13_13)), skolem_U209209)))))))))
% 253.77/68.33
% 253.77/68.33 [35] BETA_IMPLY : (ssList(skolem_U209209) => ! [V11_11] : ((ssItem(V11_11) => (memberP(skolem_U209209, V11_11) <=> ? [W12_12] : ((ssList(W12_12) & ? [X13_13] : ((ssList(X13_13) & =(app(W12_12, cons(V11_11, X13_13)), skolem_U209209)))))))))
% 253.77/68.33 -> [36] ~ssList(skolem_U209209)
% 253.77/68.33 -> [37] ! [V11_11] : ((ssItem(V11_11) => (memberP(skolem_U209209, V11_11) <=> ? [W12_12] : ((ssList(W12_12) & ? [X13_13] : ((ssList(X13_13) & =(app(W12_12, cons(V11_11, X13_13)), skolem_U209209))))))))
% 253.77/68.33
% 253.77/68.33 [36] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [37] GAMMA_FORALL : ! [U14_14] : ((ssList(U14_14) => (singletonP(U14_14) <=> ? [V15_15] : ((ssItem(V15_15) & =(cons(V15_15, nil), U14_14))))))
% 253.77/68.33 -> [38] (ssList(nil) => (singletonP(nil) <=> ? [V15_15] : ((ssItem(V15_15) & =(cons(V15_15, nil), nil)))))
% 253.77/68.33
% 253.77/68.33 [38] BETA_IMPLY : (ssList(nil) => (singletonP(nil) <=> ? [V15_15] : ((ssItem(V15_15) & =(cons(V15_15, nil), nil)))))
% 253.77/68.33 -> [39] ~ssList(nil)
% 253.77/68.33 -> [40] (singletonP(nil) <=> ? [V15_15] : ((ssItem(V15_15) & =(cons(V15_15, nil), nil))))
% 253.77/68.33
% 253.77/68.33 [39] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [40] BETA_EQUIV : (singletonP(nil) <=> ? [V15_15] : ((ssItem(V15_15) & =(cons(V15_15, nil), nil))))
% 253.77/68.33 -> [41] ~singletonP(nil), ~? [V15_15] : ((ssItem(V15_15) & =(cons(V15_15, nil), nil)))
% 253.77/68.33 -> [42] singletonP(nil), ? [V15_15] : ((ssItem(V15_15) & =(cons(V15_15, nil), nil)))
% 253.77/68.33
% 253.77/68.33 [42] DELTA_EXISTS : ? [V15_15] : ((ssItem(V15_15) & =(cons(V15_15, nil), nil)))
% 253.77/68.33 -> [43] (ssItem(skolem_V1515(nil)) & =(cons(skolem_V1515(nil), nil), nil))
% 253.77/68.33
% 253.77/68.33 [43] ALPHA_AND : (ssItem(skolem_V1515(nil)) & =(cons(skolem_V1515(nil), nil), nil))
% 253.77/68.33 -> [44] ssItem(skolem_V1515(nil)), =(cons(skolem_V1515(nil), nil), nil)
% 253.77/68.33
% 253.77/68.33 [44] CLOSURE : (ssItem(skolem_V1515(nil)) & =(cons(skolem_V1515(nil), nil), nil))
% 253.77/68.33
% 253.77/68.33 [41] GAMMA_FORALL : ! [U16_16] : ((ssList(U16_16) => ! [V17_17] : ((ssList(V17_17) => (frontsegP(U16_16, V17_17) <=> ? [W18_18] : ((ssList(W18_18) & =(app(V17_17, W18_18), U16_16))))))))
% 253.77/68.33 -> [45] (ssList(nil) => ! [V17_17] : ((ssList(V17_17) => (frontsegP(nil, V17_17) <=> ? [W18_18] : ((ssList(W18_18) & =(app(V17_17, W18_18), nil)))))))
% 253.77/68.33
% 253.77/68.33 [45] BETA_IMPLY : (ssList(nil) => ! [V17_17] : ((ssList(V17_17) => (frontsegP(nil, V17_17) <=> ? [W18_18] : ((ssList(W18_18) & =(app(V17_17, W18_18), nil)))))))
% 253.77/68.33 -> [46] ~ssList(nil)
% 253.77/68.33 -> [47] ! [V17_17] : ((ssList(V17_17) => (frontsegP(nil, V17_17) <=> ? [W18_18] : ((ssList(W18_18) & =(app(V17_17, W18_18), nil))))))
% 253.77/68.33
% 253.77/68.33 [46] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [47] GAMMA_FORALL : ! [U19_19] : ((ssList(U19_19) => ! [V20_20] : ((ssList(V20_20) => (rearsegP(U19_19, V20_20) <=> ? [W21_21] : ((ssList(W21_21) & =(app(W21_21, V20_20), U19_19))))))))
% 253.77/68.33 -> [48] (ssList(skolem_U209209) => ! [V20_20] : ((ssList(V20_20) => (rearsegP(skolem_U209209, V20_20) <=> ? [W21_21] : ((ssList(W21_21) & =(app(W21_21, V20_20), skolem_U209209)))))))
% 253.77/68.33
% 253.77/68.33 [48] BETA_IMPLY : (ssList(skolem_U209209) => ! [V20_20] : ((ssList(V20_20) => (rearsegP(skolem_U209209, V20_20) <=> ? [W21_21] : ((ssList(W21_21) & =(app(W21_21, V20_20), skolem_U209209)))))))
% 253.77/68.33 -> [49] ~ssList(skolem_U209209)
% 253.77/68.33 -> [50] ! [V20_20] : ((ssList(V20_20) => (rearsegP(skolem_U209209, V20_20) <=> ? [W21_21] : ((ssList(W21_21) & =(app(W21_21, V20_20), skolem_U209209))))))
% 253.77/68.33
% 253.77/68.33 [49] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [50] GAMMA_FORALL : ! [U22_22] : ((ssList(U22_22) => ! [V23_23] : ((ssList(V23_23) => (segmentP(U22_22, V23_23) <=> ? [W24_24] : ((ssList(W24_24) & ? [X25_25] : ((ssList(X25_25) & =(app(app(W24_24, V23_23), X25_25), U22_22))))))))))
% 253.77/68.33 -> [51] (ssList(skolem_U209209) => ! [V23_23] : ((ssList(V23_23) => (segmentP(skolem_U209209, V23_23) <=> ? [W24_24] : ((ssList(W24_24) & ? [X25_25] : ((ssList(X25_25) & =(app(app(W24_24, V23_23), X25_25), skolem_U209209)))))))))
% 253.77/68.33
% 253.77/68.33 [51] BETA_IMPLY : (ssList(skolem_U209209) => ! [V23_23] : ((ssList(V23_23) => (segmentP(skolem_U209209, V23_23) <=> ? [W24_24] : ((ssList(W24_24) & ? [X25_25] : ((ssList(X25_25) & =(app(app(W24_24, V23_23), X25_25), skolem_U209209)))))))))
% 253.77/68.33 -> [52] ~ssList(skolem_U209209)
% 253.77/68.33 -> [53] ! [V23_23] : ((ssList(V23_23) => (segmentP(skolem_U209209, V23_23) <=> ? [W24_24] : ((ssList(W24_24) & ? [X25_25] : ((ssList(X25_25) & =(app(app(W24_24, V23_23), X25_25), skolem_U209209))))))))
% 253.77/68.33
% 253.77/68.33 [52] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [53] GAMMA_FORALL : ! [U26_26] : ((ssList(U26_26) => (cyclefreeP(U26_26) <=> ! [V27_27] : ((ssItem(V27_27) => ! [W28_28] : ((ssItem(W28_28) => ! [X29_29] : ((ssList(X29_29) => ! [Y30_30] : ((ssList(Y30_30) => ! [Z31_31] : ((ssList(Z31_31) => (=(app(app(X29_29, cons(V27_27, Y30_30)), cons(W28_28, Z31_31)), U26_26) => ~(leq(V27_27, W28_28) & leq(W28_28, V27_27))))))))))))))))
% 253.77/68.33 -> [54] (ssList(nil) => (cyclefreeP(nil) <=> ! [V27_27] : ((ssItem(V27_27) => ! [W28_28] : ((ssItem(W28_28) => ! [X29_29] : ((ssList(X29_29) => ! [Y30_30] : ((ssList(Y30_30) => ! [Z31_31] : ((ssList(Z31_31) => (=(app(app(X29_29, cons(V27_27, Y30_30)), cons(W28_28, Z31_31)), nil) => ~(leq(V27_27, W28_28) & leq(W28_28, V27_27)))))))))))))))
% 253.77/68.33
% 253.77/68.33 [54] BETA_IMPLY : (ssList(nil) => (cyclefreeP(nil) <=> ! [V27_27] : ((ssItem(V27_27) => ! [W28_28] : ((ssItem(W28_28) => ! [X29_29] : ((ssList(X29_29) => ! [Y30_30] : ((ssList(Y30_30) => ! [Z31_31] : ((ssList(Z31_31) => (=(app(app(X29_29, cons(V27_27, Y30_30)), cons(W28_28, Z31_31)), nil) => ~(leq(V27_27, W28_28) & leq(W28_28, V27_27)))))))))))))))
% 253.77/68.33 -> [55] ~ssList(nil)
% 253.77/68.33 -> [56] (cyclefreeP(nil) <=> ! [V27_27] : ((ssItem(V27_27) => ! [W28_28] : ((ssItem(W28_28) => ! [X29_29] : ((ssList(X29_29) => ! [Y30_30] : ((ssList(Y30_30) => ! [Z31_31] : ((ssList(Z31_31) => (=(app(app(X29_29, cons(V27_27, Y30_30)), cons(W28_28, Z31_31)), nil) => ~(leq(V27_27, W28_28) & leq(W28_28, V27_27))))))))))))))
% 253.77/68.33
% 253.77/68.33 [55] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [56] BETA_EQUIV : (cyclefreeP(nil) <=> ! [V27_27] : ((ssItem(V27_27) => ! [W28_28] : ((ssItem(W28_28) => ! [X29_29] : ((ssList(X29_29) => ! [Y30_30] : ((ssList(Y30_30) => ! [Z31_31] : ((ssList(Z31_31) => (=(app(app(X29_29, cons(V27_27, Y30_30)), cons(W28_28, Z31_31)), nil) => ~(leq(V27_27, W28_28) & leq(W28_28, V27_27))))))))))))))
% 253.77/68.33 -> [57] ~cyclefreeP(nil), ~! [V27_27] : ((ssItem(V27_27) => ! [W28_28] : ((ssItem(W28_28) => ! [X29_29] : ((ssList(X29_29) => ! [Y30_30] : ((ssList(Y30_30) => ! [Z31_31] : ((ssList(Z31_31) => (=(app(app(X29_29, cons(V27_27, Y30_30)), cons(W28_28, Z31_31)), nil) => ~(leq(V27_27, W28_28) & leq(W28_28, V27_27)))))))))))))
% 253.77/68.33 -> [58] cyclefreeP(nil), ! [V27_27] : ((ssItem(V27_27) => ! [W28_28] : ((ssItem(W28_28) => ! [X29_29] : ((ssList(X29_29) => ! [Y30_30] : ((ssList(Y30_30) => ! [Z31_31] : ((ssList(Z31_31) => (=(app(app(X29_29, cons(V27_27, Y30_30)), cons(W28_28, Z31_31)), nil) => ~(leq(V27_27, W28_28) & leq(W28_28, V27_27)))))))))))))
% 253.77/68.33
% 253.77/68.33 [57] DELTA_NOT_FORALL : ~! [V27_27] : ((ssItem(V27_27) => ! [W28_28] : ((ssItem(W28_28) => ! [X29_29] : ((ssList(X29_29) => ! [Y30_30] : ((ssList(Y30_30) => ! [Z31_31] : ((ssList(Z31_31) => (=(app(app(X29_29, cons(V27_27, Y30_30)), cons(W28_28, Z31_31)), nil) => ~(leq(V27_27, W28_28) & leq(W28_28, V27_27)))))))))))))
% 253.77/68.33 -> [59] ~(ssItem(skolem_V2727(nil)) => ! [W28_28] : ((ssItem(W28_28) => ! [X29_29] : ((ssList(X29_29) => ! [Y30_30] : ((ssList(Y30_30) => ! [Z31_31] : ((ssList(Z31_31) => (=(app(app(X29_29, cons(skolem_V2727(nil), Y30_30)), cons(W28_28, Z31_31)), nil) => ~(leq(skolem_V2727(nil), W28_28) & leq(W28_28, skolem_V2727(nil)))))))))))))
% 253.77/68.33
% 253.77/68.33 [59] ALPHA_NOT_IMPLY : ~(ssItem(skolem_V2727(nil)) => ! [W28_28] : ((ssItem(W28_28) => ! [X29_29] : ((ssList(X29_29) => ! [Y30_30] : ((ssList(Y30_30) => ! [Z31_31] : ((ssList(Z31_31) => (=(app(app(X29_29, cons(skolem_V2727(nil), Y30_30)), cons(W28_28, Z31_31)), nil) => ~(leq(skolem_V2727(nil), W28_28) & leq(W28_28, skolem_V2727(nil)))))))))))))
% 253.77/68.33 -> [60] ssItem(skolem_V2727(nil)), ~! [W28_28] : ((ssItem(W28_28) => ! [X29_29] : ((ssList(X29_29) => ! [Y30_30] : ((ssList(Y30_30) => ! [Z31_31] : ((ssList(Z31_31) => (=(app(app(X29_29, cons(skolem_V2727(nil), Y30_30)), cons(W28_28, Z31_31)), nil) => ~(leq(skolem_V2727(nil), W28_28) & leq(W28_28, skolem_V2727(nil))))))))))))
% 253.77/68.33
% 253.77/68.33 [60] DELTA_NOT_FORALL : ~! [W28_28] : ((ssItem(W28_28) => ! [X29_29] : ((ssList(X29_29) => ! [Y30_30] : ((ssList(Y30_30) => ! [Z31_31] : ((ssList(Z31_31) => (=(app(app(X29_29, cons(skolem_V2727(nil), Y30_30)), cons(W28_28, Z31_31)), nil) => ~(leq(skolem_V2727(nil), W28_28) & leq(W28_28, skolem_V2727(nil))))))))))))
% 253.77/68.33 -> [66] ~(ssItem(skolem_W2828(nil)) => ! [X29_29] : ((ssList(X29_29) => ! [Y30_30] : ((ssList(Y30_30) => ! [Z31_31] : ((ssList(Z31_31) => (=(app(app(X29_29, cons(skolem_V2727(nil), Y30_30)), cons(skolem_W2828(nil), Z31_31)), nil) => ~(leq(skolem_V2727(nil), skolem_W2828(nil)) & leq(skolem_W2828(nil), skolem_V2727(nil)))))))))))
% 253.77/68.33
% 253.77/68.33 [66] ALPHA_NOT_IMPLY : ~(ssItem(skolem_W2828(nil)) => ! [X29_29] : ((ssList(X29_29) => ! [Y30_30] : ((ssList(Y30_30) => ! [Z31_31] : ((ssList(Z31_31) => (=(app(app(X29_29, cons(skolem_V2727(nil), Y30_30)), cons(skolem_W2828(nil), Z31_31)), nil) => ~(leq(skolem_V2727(nil), skolem_W2828(nil)) & leq(skolem_W2828(nil), skolem_V2727(nil)))))))))))
% 253.77/68.33 -> [67] ssItem(skolem_W2828(nil)), ~! [X29_29] : ((ssList(X29_29) => ! [Y30_30] : ((ssList(Y30_30) => ! [Z31_31] : ((ssList(Z31_31) => (=(app(app(X29_29, cons(skolem_V2727(nil), Y30_30)), cons(skolem_W2828(nil), Z31_31)), nil) => ~(leq(skolem_V2727(nil), skolem_W2828(nil)) & leq(skolem_W2828(nil), skolem_V2727(nil))))))))))
% 253.77/68.33
% 253.77/68.33 [67] DELTA_NOT_FORALL : ~! [X29_29] : ((ssList(X29_29) => ! [Y30_30] : ((ssList(Y30_30) => ! [Z31_31] : ((ssList(Z31_31) => (=(app(app(X29_29, cons(skolem_V2727(nil), Y30_30)), cons(skolem_W2828(nil), Z31_31)), nil) => ~(leq(skolem_V2727(nil), skolem_W2828(nil)) & leq(skolem_W2828(nil), skolem_V2727(nil))))))))))
% 253.77/68.33 -> [75] ~(ssList(skolem_X2929(nil)) => ! [Y30_30] : ((ssList(Y30_30) => ! [Z31_31] : ((ssList(Z31_31) => (=(app(app(skolem_X2929(nil), cons(skolem_V2727(nil), Y30_30)), cons(skolem_W2828(nil), Z31_31)), nil) => ~(leq(skolem_V2727(nil), skolem_W2828(nil)) & leq(skolem_W2828(nil), skolem_V2727(nil)))))))))
% 253.77/68.33
% 253.77/68.33 [75] ALPHA_NOT_IMPLY : ~(ssList(skolem_X2929(nil)) => ! [Y30_30] : ((ssList(Y30_30) => ! [Z31_31] : ((ssList(Z31_31) => (=(app(app(skolem_X2929(nil), cons(skolem_V2727(nil), Y30_30)), cons(skolem_W2828(nil), Z31_31)), nil) => ~(leq(skolem_V2727(nil), skolem_W2828(nil)) & leq(skolem_W2828(nil), skolem_V2727(nil)))))))))
% 253.77/68.33 -> [76] ssList(skolem_X2929(nil)), ~! [Y30_30] : ((ssList(Y30_30) => ! [Z31_31] : ((ssList(Z31_31) => (=(app(app(skolem_X2929(nil), cons(skolem_V2727(nil), Y30_30)), cons(skolem_W2828(nil), Z31_31)), nil) => ~(leq(skolem_V2727(nil), skolem_W2828(nil)) & leq(skolem_W2828(nil), skolem_V2727(nil))))))))
% 253.77/68.33
% 253.77/68.33 [76] DELTA_NOT_FORALL : ~! [Y30_30] : ((ssList(Y30_30) => ! [Z31_31] : ((ssList(Z31_31) => (=(app(app(skolem_X2929(nil), cons(skolem_V2727(nil), Y30_30)), cons(skolem_W2828(nil), Z31_31)), nil) => ~(leq(skolem_V2727(nil), skolem_W2828(nil)) & leq(skolem_W2828(nil), skolem_V2727(nil))))))))
% 253.77/68.33 -> [87] ~(ssList(skolem_Y3030(nil)) => ! [Z31_31] : ((ssList(Z31_31) => (=(app(app(skolem_X2929(nil), cons(skolem_V2727(nil), skolem_Y3030(nil))), cons(skolem_W2828(nil), Z31_31)), nil) => ~(leq(skolem_V2727(nil), skolem_W2828(nil)) & leq(skolem_W2828(nil), skolem_V2727(nil)))))))
% 253.77/68.33
% 253.77/68.33 [87] ALPHA_NOT_IMPLY : ~(ssList(skolem_Y3030(nil)) => ! [Z31_31] : ((ssList(Z31_31) => (=(app(app(skolem_X2929(nil), cons(skolem_V2727(nil), skolem_Y3030(nil))), cons(skolem_W2828(nil), Z31_31)), nil) => ~(leq(skolem_V2727(nil), skolem_W2828(nil)) & leq(skolem_W2828(nil), skolem_V2727(nil)))))))
% 253.77/68.33 -> [89] ssList(skolem_Y3030(nil)), ~! [Z31_31] : ((ssList(Z31_31) => (=(app(app(skolem_X2929(nil), cons(skolem_V2727(nil), skolem_Y3030(nil))), cons(skolem_W2828(nil), Z31_31)), nil) => ~(leq(skolem_V2727(nil), skolem_W2828(nil)) & leq(skolem_W2828(nil), skolem_V2727(nil))))))
% 253.77/68.33
% 253.77/68.33 [89] DELTA_NOT_FORALL : ~! [Z31_31] : ((ssList(Z31_31) => (=(app(app(skolem_X2929(nil), cons(skolem_V2727(nil), skolem_Y3030(nil))), cons(skolem_W2828(nil), Z31_31)), nil) => ~(leq(skolem_V2727(nil), skolem_W2828(nil)) & leq(skolem_W2828(nil), skolem_V2727(nil))))))
% 253.77/68.33 -> [102] ~(ssList(skolem_Z3131(nil)) => (=(app(app(skolem_X2929(nil), cons(skolem_V2727(nil), skolem_Y3030(nil))), cons(skolem_W2828(nil), skolem_Z3131(nil))), nil) => ~(leq(skolem_V2727(nil), skolem_W2828(nil)) & leq(skolem_W2828(nil), skolem_V2727(nil)))))
% 253.77/68.33
% 253.77/68.33 [102] ALPHA_NOT_IMPLY : ~(ssList(skolem_Z3131(nil)) => (=(app(app(skolem_X2929(nil), cons(skolem_V2727(nil), skolem_Y3030(nil))), cons(skolem_W2828(nil), skolem_Z3131(nil))), nil) => ~(leq(skolem_V2727(nil), skolem_W2828(nil)) & leq(skolem_W2828(nil), skolem_V2727(nil)))))
% 253.77/68.33 -> [104] ssList(skolem_Z3131(nil)), ~(=(app(app(skolem_X2929(nil), cons(skolem_V2727(nil), skolem_Y3030(nil))), cons(skolem_W2828(nil), skolem_Z3131(nil))), nil) => ~(leq(skolem_V2727(nil), skolem_W2828(nil)) & leq(skolem_W2828(nil), skolem_V2727(nil))))
% 253.77/68.33
% 253.77/68.33 [104] ALPHA_NOT_IMPLY : ~(=(app(app(skolem_X2929(nil), cons(skolem_V2727(nil), skolem_Y3030(nil))), cons(skolem_W2828(nil), skolem_Z3131(nil))), nil) => ~(leq(skolem_V2727(nil), skolem_W2828(nil)) & leq(skolem_W2828(nil), skolem_V2727(nil))))
% 253.77/68.33 -> [117] =(app(app(skolem_X2929(nil), cons(skolem_V2727(nil), skolem_Y3030(nil))), cons(skolem_W2828(nil), skolem_Z3131(nil))), nil), ~~(leq(skolem_V2727(nil), skolem_W2828(nil)) & leq(skolem_W2828(nil), skolem_V2727(nil)))
% 253.77/68.33
% 253.77/68.33 [117] ALPHA_NOT_NOT : ~~(leq(skolem_V2727(nil), skolem_W2828(nil)) & leq(skolem_W2828(nil), skolem_V2727(nil)))
% 253.77/68.33 -> [125] (leq(skolem_V2727(nil), skolem_W2828(nil)) & leq(skolem_W2828(nil), skolem_V2727(nil)))
% 253.77/68.33
% 253.77/68.33 [125] ALPHA_AND : (leq(skolem_V2727(nil), skolem_W2828(nil)) & leq(skolem_W2828(nil), skolem_V2727(nil)))
% 253.77/68.33 -> [126] leq(skolem_V2727(nil), skolem_W2828(nil)), leq(skolem_W2828(nil), skolem_V2727(nil))
% 253.77/68.33
% 253.77/68.33 [126] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [58] GAMMA_FORALL : ! [U32_32] : ((ssList(U32_32) => (totalorderP(U32_32) <=> ! [V33_33] : ((ssItem(V33_33) => ! [W34_34] : ((ssItem(W34_34) => ! [X35_35] : ((ssList(X35_35) => ! [Y36_36] : ((ssList(Y36_36) => ! [Z37_37] : ((ssList(Z37_37) => (=(app(app(X35_35, cons(V33_33, Y36_36)), cons(W34_34, Z37_37)), U32_32) => (leq(V33_33, W34_34) | leq(W34_34, V33_33))))))))))))))))
% 253.77/68.33 -> [61] (ssList(nil) => (totalorderP(nil) <=> ! [V33_33] : ((ssItem(V33_33) => ! [W34_34] : ((ssItem(W34_34) => ! [X35_35] : ((ssList(X35_35) => ! [Y36_36] : ((ssList(Y36_36) => ! [Z37_37] : ((ssList(Z37_37) => (=(app(app(X35_35, cons(V33_33, Y36_36)), cons(W34_34, Z37_37)), nil) => (leq(V33_33, W34_34) | leq(W34_34, V33_33)))))))))))))))
% 253.77/68.33
% 253.77/68.33 [61] BETA_IMPLY : (ssList(nil) => (totalorderP(nil) <=> ! [V33_33] : ((ssItem(V33_33) => ! [W34_34] : ((ssItem(W34_34) => ! [X35_35] : ((ssList(X35_35) => ! [Y36_36] : ((ssList(Y36_36) => ! [Z37_37] : ((ssList(Z37_37) => (=(app(app(X35_35, cons(V33_33, Y36_36)), cons(W34_34, Z37_37)), nil) => (leq(V33_33, W34_34) | leq(W34_34, V33_33)))))))))))))))
% 253.77/68.33 -> [62] ~ssList(nil)
% 253.77/68.33 -> [63] (totalorderP(nil) <=> ! [V33_33] : ((ssItem(V33_33) => ! [W34_34] : ((ssItem(W34_34) => ! [X35_35] : ((ssList(X35_35) => ! [Y36_36] : ((ssList(Y36_36) => ! [Z37_37] : ((ssList(Z37_37) => (=(app(app(X35_35, cons(V33_33, Y36_36)), cons(W34_34, Z37_37)), nil) => (leq(V33_33, W34_34) | leq(W34_34, V33_33))))))))))))))
% 253.77/68.33
% 253.77/68.33 [62] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [63] BETA_EQUIV : (totalorderP(nil) <=> ! [V33_33] : ((ssItem(V33_33) => ! [W34_34] : ((ssItem(W34_34) => ! [X35_35] : ((ssList(X35_35) => ! [Y36_36] : ((ssList(Y36_36) => ! [Z37_37] : ((ssList(Z37_37) => (=(app(app(X35_35, cons(V33_33, Y36_36)), cons(W34_34, Z37_37)), nil) => (leq(V33_33, W34_34) | leq(W34_34, V33_33))))))))))))))
% 253.77/68.33 -> [64] ~totalorderP(nil), ~! [V33_33] : ((ssItem(V33_33) => ! [W34_34] : ((ssItem(W34_34) => ! [X35_35] : ((ssList(X35_35) => ! [Y36_36] : ((ssList(Y36_36) => ! [Z37_37] : ((ssList(Z37_37) => (=(app(app(X35_35, cons(V33_33, Y36_36)), cons(W34_34, Z37_37)), nil) => (leq(V33_33, W34_34) | leq(W34_34, V33_33)))))))))))))
% 253.77/68.33 -> [65] totalorderP(nil), ! [V33_33] : ((ssItem(V33_33) => ! [W34_34] : ((ssItem(W34_34) => ! [X35_35] : ((ssList(X35_35) => ! [Y36_36] : ((ssList(Y36_36) => ! [Z37_37] : ((ssList(Z37_37) => (=(app(app(X35_35, cons(V33_33, Y36_36)), cons(W34_34, Z37_37)), nil) => (leq(V33_33, W34_34) | leq(W34_34, V33_33)))))))))))))
% 253.77/68.33
% 253.77/68.33 [64] DELTA_NOT_FORALL : ~! [V33_33] : ((ssItem(V33_33) => ! [W34_34] : ((ssItem(W34_34) => ! [X35_35] : ((ssList(X35_35) => ! [Y36_36] : ((ssList(Y36_36) => ! [Z37_37] : ((ssList(Z37_37) => (=(app(app(X35_35, cons(V33_33, Y36_36)), cons(W34_34, Z37_37)), nil) => (leq(V33_33, W34_34) | leq(W34_34, V33_33)))))))))))))
% 253.77/68.33 -> [68] ~(ssItem(skolem_V3333(nil)) => ! [W34_34] : ((ssItem(W34_34) => ! [X35_35] : ((ssList(X35_35) => ! [Y36_36] : ((ssList(Y36_36) => ! [Z37_37] : ((ssList(Z37_37) => (=(app(app(X35_35, cons(skolem_V3333(nil), Y36_36)), cons(W34_34, Z37_37)), nil) => (leq(skolem_V3333(nil), W34_34) | leq(W34_34, skolem_V3333(nil)))))))))))))
% 253.77/68.33
% 253.77/68.33 [68] ALPHA_NOT_IMPLY : ~(ssItem(skolem_V3333(nil)) => ! [W34_34] : ((ssItem(W34_34) => ! [X35_35] : ((ssList(X35_35) => ! [Y36_36] : ((ssList(Y36_36) => ! [Z37_37] : ((ssList(Z37_37) => (=(app(app(X35_35, cons(skolem_V3333(nil), Y36_36)), cons(W34_34, Z37_37)), nil) => (leq(skolem_V3333(nil), W34_34) | leq(W34_34, skolem_V3333(nil)))))))))))))
% 253.77/68.33 -> [69] ssItem(skolem_V3333(nil)), ~! [W34_34] : ((ssItem(W34_34) => ! [X35_35] : ((ssList(X35_35) => ! [Y36_36] : ((ssList(Y36_36) => ! [Z37_37] : ((ssList(Z37_37) => (=(app(app(X35_35, cons(skolem_V3333(nil), Y36_36)), cons(W34_34, Z37_37)), nil) => (leq(skolem_V3333(nil), W34_34) | leq(W34_34, skolem_V3333(nil))))))))))))
% 253.77/68.33
% 253.77/68.33 [69] DELTA_NOT_FORALL : ~! [W34_34] : ((ssItem(W34_34) => ! [X35_35] : ((ssList(X35_35) => ! [Y36_36] : ((ssList(Y36_36) => ! [Z37_37] : ((ssList(Z37_37) => (=(app(app(X35_35, cons(skolem_V3333(nil), Y36_36)), cons(W34_34, Z37_37)), nil) => (leq(skolem_V3333(nil), W34_34) | leq(W34_34, skolem_V3333(nil))))))))))))
% 253.77/68.33 -> [77] ~(ssItem(skolem_W3434(nil)) => ! [X35_35] : ((ssList(X35_35) => ! [Y36_36] : ((ssList(Y36_36) => ! [Z37_37] : ((ssList(Z37_37) => (=(app(app(X35_35, cons(skolem_V3333(nil), Y36_36)), cons(skolem_W3434(nil), Z37_37)), nil) => (leq(skolem_V3333(nil), skolem_W3434(nil)) | leq(skolem_W3434(nil), skolem_V3333(nil)))))))))))
% 253.77/68.33
% 253.77/68.33 [77] ALPHA_NOT_IMPLY : ~(ssItem(skolem_W3434(nil)) => ! [X35_35] : ((ssList(X35_35) => ! [Y36_36] : ((ssList(Y36_36) => ! [Z37_37] : ((ssList(Z37_37) => (=(app(app(X35_35, cons(skolem_V3333(nil), Y36_36)), cons(skolem_W3434(nil), Z37_37)), nil) => (leq(skolem_V3333(nil), skolem_W3434(nil)) | leq(skolem_W3434(nil), skolem_V3333(nil)))))))))))
% 253.77/68.33 -> [78] ssItem(skolem_W3434(nil)), ~! [X35_35] : ((ssList(X35_35) => ! [Y36_36] : ((ssList(Y36_36) => ! [Z37_37] : ((ssList(Z37_37) => (=(app(app(X35_35, cons(skolem_V3333(nil), Y36_36)), cons(skolem_W3434(nil), Z37_37)), nil) => (leq(skolem_V3333(nil), skolem_W3434(nil)) | leq(skolem_W3434(nil), skolem_V3333(nil))))))))))
% 253.77/68.33
% 253.77/68.33 [78] DELTA_NOT_FORALL : ~! [X35_35] : ((ssList(X35_35) => ! [Y36_36] : ((ssList(Y36_36) => ! [Z37_37] : ((ssList(Z37_37) => (=(app(app(X35_35, cons(skolem_V3333(nil), Y36_36)), cons(skolem_W3434(nil), Z37_37)), nil) => (leq(skolem_V3333(nil), skolem_W3434(nil)) | leq(skolem_W3434(nil), skolem_V3333(nil))))))))))
% 253.77/68.33 -> [86] ~(ssList(skolem_X3535(nil)) => ! [Y36_36] : ((ssList(Y36_36) => ! [Z37_37] : ((ssList(Z37_37) => (=(app(app(skolem_X3535(nil), cons(skolem_V3333(nil), Y36_36)), cons(skolem_W3434(nil), Z37_37)), nil) => (leq(skolem_V3333(nil), skolem_W3434(nil)) | leq(skolem_W3434(nil), skolem_V3333(nil)))))))))
% 253.77/68.33
% 253.77/68.33 [86] ALPHA_NOT_IMPLY : ~(ssList(skolem_X3535(nil)) => ! [Y36_36] : ((ssList(Y36_36) => ! [Z37_37] : ((ssList(Z37_37) => (=(app(app(skolem_X3535(nil), cons(skolem_V3333(nil), Y36_36)), cons(skolem_W3434(nil), Z37_37)), nil) => (leq(skolem_V3333(nil), skolem_W3434(nil)) | leq(skolem_W3434(nil), skolem_V3333(nil)))))))))
% 253.77/68.33 -> [88] ssList(skolem_X3535(nil)), ~! [Y36_36] : ((ssList(Y36_36) => ! [Z37_37] : ((ssList(Z37_37) => (=(app(app(skolem_X3535(nil), cons(skolem_V3333(nil), Y36_36)), cons(skolem_W3434(nil), Z37_37)), nil) => (leq(skolem_V3333(nil), skolem_W3434(nil)) | leq(skolem_W3434(nil), skolem_V3333(nil))))))))
% 253.77/68.33
% 253.77/68.33 [88] DELTA_NOT_FORALL : ~! [Y36_36] : ((ssList(Y36_36) => ! [Z37_37] : ((ssList(Z37_37) => (=(app(app(skolem_X3535(nil), cons(skolem_V3333(nil), Y36_36)), cons(skolem_W3434(nil), Z37_37)), nil) => (leq(skolem_V3333(nil), skolem_W3434(nil)) | leq(skolem_W3434(nil), skolem_V3333(nil))))))))
% 253.77/68.33 -> [99] ~(ssList(skolem_Y3636(nil)) => ! [Z37_37] : ((ssList(Z37_37) => (=(app(app(skolem_X3535(nil), cons(skolem_V3333(nil), skolem_Y3636(nil))), cons(skolem_W3434(nil), Z37_37)), nil) => (leq(skolem_V3333(nil), skolem_W3434(nil)) | leq(skolem_W3434(nil), skolem_V3333(nil)))))))
% 253.77/68.33
% 253.77/68.33 [99] ALPHA_NOT_IMPLY : ~(ssList(skolem_Y3636(nil)) => ! [Z37_37] : ((ssList(Z37_37) => (=(app(app(skolem_X3535(nil), cons(skolem_V3333(nil), skolem_Y3636(nil))), cons(skolem_W3434(nil), Z37_37)), nil) => (leq(skolem_V3333(nil), skolem_W3434(nil)) | leq(skolem_W3434(nil), skolem_V3333(nil)))))))
% 253.77/68.33 -> [100] ssList(skolem_Y3636(nil)), ~! [Z37_37] : ((ssList(Z37_37) => (=(app(app(skolem_X3535(nil), cons(skolem_V3333(nil), skolem_Y3636(nil))), cons(skolem_W3434(nil), Z37_37)), nil) => (leq(skolem_V3333(nil), skolem_W3434(nil)) | leq(skolem_W3434(nil), skolem_V3333(nil))))))
% 253.77/68.33
% 253.77/68.33 [100] DELTA_NOT_FORALL : ~! [Z37_37] : ((ssList(Z37_37) => (=(app(app(skolem_X3535(nil), cons(skolem_V3333(nil), skolem_Y3636(nil))), cons(skolem_W3434(nil), Z37_37)), nil) => (leq(skolem_V3333(nil), skolem_W3434(nil)) | leq(skolem_W3434(nil), skolem_V3333(nil))))))
% 253.77/68.33 -> [111] ~(ssList(skolem_Z3737(nil)) => (=(app(app(skolem_X3535(nil), cons(skolem_V3333(nil), skolem_Y3636(nil))), cons(skolem_W3434(nil), skolem_Z3737(nil))), nil) => (leq(skolem_V3333(nil), skolem_W3434(nil)) | leq(skolem_W3434(nil), skolem_V3333(nil)))))
% 253.77/68.33
% 253.77/68.33 [111] ALPHA_NOT_IMPLY : ~(ssList(skolem_Z3737(nil)) => (=(app(app(skolem_X3535(nil), cons(skolem_V3333(nil), skolem_Y3636(nil))), cons(skolem_W3434(nil), skolem_Z3737(nil))), nil) => (leq(skolem_V3333(nil), skolem_W3434(nil)) | leq(skolem_W3434(nil), skolem_V3333(nil)))))
% 253.77/68.33 -> [115] ssList(skolem_Z3737(nil)), ~(=(app(app(skolem_X3535(nil), cons(skolem_V3333(nil), skolem_Y3636(nil))), cons(skolem_W3434(nil), skolem_Z3737(nil))), nil) => (leq(skolem_V3333(nil), skolem_W3434(nil)) | leq(skolem_W3434(nil), skolem_V3333(nil))))
% 253.77/68.33
% 253.77/68.33 [115] ALPHA_NOT_IMPLY : ~(=(app(app(skolem_X3535(nil), cons(skolem_V3333(nil), skolem_Y3636(nil))), cons(skolem_W3434(nil), skolem_Z3737(nil))), nil) => (leq(skolem_V3333(nil), skolem_W3434(nil)) | leq(skolem_W3434(nil), skolem_V3333(nil))))
% 253.77/68.33 -> [124] =(app(app(skolem_X3535(nil), cons(skolem_V3333(nil), skolem_Y3636(nil))), cons(skolem_W3434(nil), skolem_Z3737(nil))), nil), ~(leq(skolem_V3333(nil), skolem_W3434(nil)) | leq(skolem_W3434(nil), skolem_V3333(nil)))
% 253.77/68.33
% 253.77/68.33 [124] ALPHA_NOT_OR : ~(leq(skolem_V3333(nil), skolem_W3434(nil)) | leq(skolem_W3434(nil), skolem_V3333(nil)))
% 253.77/68.33 -> [132] ~leq(skolem_V3333(nil), skolem_W3434(nil)), ~leq(skolem_W3434(nil), skolem_V3333(nil))
% 253.77/68.33
% 253.77/68.33 [132] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [65] GAMMA_FORALL : ! [U38_38] : ((ssList(U38_38) => (strictorderP(U38_38) <=> ! [V39_39] : ((ssItem(V39_39) => ! [W40_40] : ((ssItem(W40_40) => ! [X41_41] : ((ssList(X41_41) => ! [Y42_42] : ((ssList(Y42_42) => ! [Z43_43] : ((ssList(Z43_43) => (=(app(app(X41_41, cons(V39_39, Y42_42)), cons(W40_40, Z43_43)), U38_38) => (lt(V39_39, W40_40) | lt(W40_40, V39_39))))))))))))))))
% 253.77/68.33 -> [70] (ssList(nil) => (strictorderP(nil) <=> ! [V39_39] : ((ssItem(V39_39) => ! [W40_40] : ((ssItem(W40_40) => ! [X41_41] : ((ssList(X41_41) => ! [Y42_42] : ((ssList(Y42_42) => ! [Z43_43] : ((ssList(Z43_43) => (=(app(app(X41_41, cons(V39_39, Y42_42)), cons(W40_40, Z43_43)), nil) => (lt(V39_39, W40_40) | lt(W40_40, V39_39)))))))))))))))
% 253.77/68.33
% 253.77/68.33 [70] BETA_IMPLY : (ssList(nil) => (strictorderP(nil) <=> ! [V39_39] : ((ssItem(V39_39) => ! [W40_40] : ((ssItem(W40_40) => ! [X41_41] : ((ssList(X41_41) => ! [Y42_42] : ((ssList(Y42_42) => ! [Z43_43] : ((ssList(Z43_43) => (=(app(app(X41_41, cons(V39_39, Y42_42)), cons(W40_40, Z43_43)), nil) => (lt(V39_39, W40_40) | lt(W40_40, V39_39)))))))))))))))
% 253.77/68.33 -> [71] ~ssList(nil)
% 253.77/68.33 -> [72] (strictorderP(nil) <=> ! [V39_39] : ((ssItem(V39_39) => ! [W40_40] : ((ssItem(W40_40) => ! [X41_41] : ((ssList(X41_41) => ! [Y42_42] : ((ssList(Y42_42) => ! [Z43_43] : ((ssList(Z43_43) => (=(app(app(X41_41, cons(V39_39, Y42_42)), cons(W40_40, Z43_43)), nil) => (lt(V39_39, W40_40) | lt(W40_40, V39_39))))))))))))))
% 253.77/68.33
% 253.77/68.33 [71] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [72] BETA_EQUIV : (strictorderP(nil) <=> ! [V39_39] : ((ssItem(V39_39) => ! [W40_40] : ((ssItem(W40_40) => ! [X41_41] : ((ssList(X41_41) => ! [Y42_42] : ((ssList(Y42_42) => ! [Z43_43] : ((ssList(Z43_43) => (=(app(app(X41_41, cons(V39_39, Y42_42)), cons(W40_40, Z43_43)), nil) => (lt(V39_39, W40_40) | lt(W40_40, V39_39))))))))))))))
% 253.77/68.33 -> [73] ~strictorderP(nil), ~! [V39_39] : ((ssItem(V39_39) => ! [W40_40] : ((ssItem(W40_40) => ! [X41_41] : ((ssList(X41_41) => ! [Y42_42] : ((ssList(Y42_42) => ! [Z43_43] : ((ssList(Z43_43) => (=(app(app(X41_41, cons(V39_39, Y42_42)), cons(W40_40, Z43_43)), nil) => (lt(V39_39, W40_40) | lt(W40_40, V39_39)))))))))))))
% 253.77/68.33 -> [74] strictorderP(nil), ! [V39_39] : ((ssItem(V39_39) => ! [W40_40] : ((ssItem(W40_40) => ! [X41_41] : ((ssList(X41_41) => ! [Y42_42] : ((ssList(Y42_42) => ! [Z43_43] : ((ssList(Z43_43) => (=(app(app(X41_41, cons(V39_39, Y42_42)), cons(W40_40, Z43_43)), nil) => (lt(V39_39, W40_40) | lt(W40_40, V39_39)))))))))))))
% 253.77/68.33
% 253.77/68.33 [73] DELTA_NOT_FORALL : ~! [V39_39] : ((ssItem(V39_39) => ! [W40_40] : ((ssItem(W40_40) => ! [X41_41] : ((ssList(X41_41) => ! [Y42_42] : ((ssList(Y42_42) => ! [Z43_43] : ((ssList(Z43_43) => (=(app(app(X41_41, cons(V39_39, Y42_42)), cons(W40_40, Z43_43)), nil) => (lt(V39_39, W40_40) | lt(W40_40, V39_39)))))))))))))
% 253.77/68.33 -> [79] ~(ssItem(skolem_V3939(nil)) => ! [W40_40] : ((ssItem(W40_40) => ! [X41_41] : ((ssList(X41_41) => ! [Y42_42] : ((ssList(Y42_42) => ! [Z43_43] : ((ssList(Z43_43) => (=(app(app(X41_41, cons(skolem_V3939(nil), Y42_42)), cons(W40_40, Z43_43)), nil) => (lt(skolem_V3939(nil), W40_40) | lt(W40_40, skolem_V3939(nil)))))))))))))
% 253.77/68.33
% 253.77/68.33 [79] ALPHA_NOT_IMPLY : ~(ssItem(skolem_V3939(nil)) => ! [W40_40] : ((ssItem(W40_40) => ! [X41_41] : ((ssList(X41_41) => ! [Y42_42] : ((ssList(Y42_42) => ! [Z43_43] : ((ssList(Z43_43) => (=(app(app(X41_41, cons(skolem_V3939(nil), Y42_42)), cons(W40_40, Z43_43)), nil) => (lt(skolem_V3939(nil), W40_40) | lt(W40_40, skolem_V3939(nil)))))))))))))
% 253.77/68.33 -> [80] ssItem(skolem_V3939(nil)), ~! [W40_40] : ((ssItem(W40_40) => ! [X41_41] : ((ssList(X41_41) => ! [Y42_42] : ((ssList(Y42_42) => ! [Z43_43] : ((ssList(Z43_43) => (=(app(app(X41_41, cons(skolem_V3939(nil), Y42_42)), cons(W40_40, Z43_43)), nil) => (lt(skolem_V3939(nil), W40_40) | lt(W40_40, skolem_V3939(nil))))))))))))
% 253.77/68.33
% 253.77/68.33 [80] DELTA_NOT_FORALL : ~! [W40_40] : ((ssItem(W40_40) => ! [X41_41] : ((ssList(X41_41) => ! [Y42_42] : ((ssList(Y42_42) => ! [Z43_43] : ((ssList(Z43_43) => (=(app(app(X41_41, cons(skolem_V3939(nil), Y42_42)), cons(W40_40, Z43_43)), nil) => (lt(skolem_V3939(nil), W40_40) | lt(W40_40, skolem_V3939(nil))))))))))))
% 253.77/68.33 -> [90] ~(ssItem(skolem_W4040(nil)) => ! [X41_41] : ((ssList(X41_41) => ! [Y42_42] : ((ssList(Y42_42) => ! [Z43_43] : ((ssList(Z43_43) => (=(app(app(X41_41, cons(skolem_V3939(nil), Y42_42)), cons(skolem_W4040(nil), Z43_43)), nil) => (lt(skolem_V3939(nil), skolem_W4040(nil)) | lt(skolem_W4040(nil), skolem_V3939(nil)))))))))))
% 253.77/68.33
% 253.77/68.33 [90] ALPHA_NOT_IMPLY : ~(ssItem(skolem_W4040(nil)) => ! [X41_41] : ((ssList(X41_41) => ! [Y42_42] : ((ssList(Y42_42) => ! [Z43_43] : ((ssList(Z43_43) => (=(app(app(X41_41, cons(skolem_V3939(nil), Y42_42)), cons(skolem_W4040(nil), Z43_43)), nil) => (lt(skolem_V3939(nil), skolem_W4040(nil)) | lt(skolem_W4040(nil), skolem_V3939(nil)))))))))))
% 253.77/68.33 -> [91] ssItem(skolem_W4040(nil)), ~! [X41_41] : ((ssList(X41_41) => ! [Y42_42] : ((ssList(Y42_42) => ! [Z43_43] : ((ssList(Z43_43) => (=(app(app(X41_41, cons(skolem_V3939(nil), Y42_42)), cons(skolem_W4040(nil), Z43_43)), nil) => (lt(skolem_V3939(nil), skolem_W4040(nil)) | lt(skolem_W4040(nil), skolem_V3939(nil))))))))))
% 253.77/68.33
% 253.77/68.33 [91] DELTA_NOT_FORALL : ~! [X41_41] : ((ssList(X41_41) => ! [Y42_42] : ((ssList(Y42_42) => ! [Z43_43] : ((ssList(Z43_43) => (=(app(app(X41_41, cons(skolem_V3939(nil), Y42_42)), cons(skolem_W4040(nil), Z43_43)), nil) => (lt(skolem_V3939(nil), skolem_W4040(nil)) | lt(skolem_W4040(nil), skolem_V3939(nil))))))))))
% 253.77/68.33 -> [101] ~(ssList(skolem_X4141(nil)) => ! [Y42_42] : ((ssList(Y42_42) => ! [Z43_43] : ((ssList(Z43_43) => (=(app(app(skolem_X4141(nil), cons(skolem_V3939(nil), Y42_42)), cons(skolem_W4040(nil), Z43_43)), nil) => (lt(skolem_V3939(nil), skolem_W4040(nil)) | lt(skolem_W4040(nil), skolem_V3939(nil)))))))))
% 253.77/68.33
% 253.77/68.33 [101] ALPHA_NOT_IMPLY : ~(ssList(skolem_X4141(nil)) => ! [Y42_42] : ((ssList(Y42_42) => ! [Z43_43] : ((ssList(Z43_43) => (=(app(app(skolem_X4141(nil), cons(skolem_V3939(nil), Y42_42)), cons(skolem_W4040(nil), Z43_43)), nil) => (lt(skolem_V3939(nil), skolem_W4040(nil)) | lt(skolem_W4040(nil), skolem_V3939(nil)))))))))
% 253.77/68.33 -> [103] ssList(skolem_X4141(nil)), ~! [Y42_42] : ((ssList(Y42_42) => ! [Z43_43] : ((ssList(Z43_43) => (=(app(app(skolem_X4141(nil), cons(skolem_V3939(nil), Y42_42)), cons(skolem_W4040(nil), Z43_43)), nil) => (lt(skolem_V3939(nil), skolem_W4040(nil)) | lt(skolem_W4040(nil), skolem_V3939(nil))))))))
% 253.77/68.33
% 253.77/68.33 [103] DELTA_NOT_FORALL : ~! [Y42_42] : ((ssList(Y42_42) => ! [Z43_43] : ((ssList(Z43_43) => (=(app(app(skolem_X4141(nil), cons(skolem_V3939(nil), Y42_42)), cons(skolem_W4040(nil), Z43_43)), nil) => (lt(skolem_V3939(nil), skolem_W4040(nil)) | lt(skolem_W4040(nil), skolem_V3939(nil))))))))
% 253.77/68.33 -> [112] ~(ssList(skolem_Y4242(nil)) => ! [Z43_43] : ((ssList(Z43_43) => (=(app(app(skolem_X4141(nil), cons(skolem_V3939(nil), skolem_Y4242(nil))), cons(skolem_W4040(nil), Z43_43)), nil) => (lt(skolem_V3939(nil), skolem_W4040(nil)) | lt(skolem_W4040(nil), skolem_V3939(nil)))))))
% 253.77/68.33
% 253.77/68.33 [112] ALPHA_NOT_IMPLY : ~(ssList(skolem_Y4242(nil)) => ! [Z43_43] : ((ssList(Z43_43) => (=(app(app(skolem_X4141(nil), cons(skolem_V3939(nil), skolem_Y4242(nil))), cons(skolem_W4040(nil), Z43_43)), nil) => (lt(skolem_V3939(nil), skolem_W4040(nil)) | lt(skolem_W4040(nil), skolem_V3939(nil)))))))
% 253.77/68.33 -> [116] ssList(skolem_Y4242(nil)), ~! [Z43_43] : ((ssList(Z43_43) => (=(app(app(skolem_X4141(nil), cons(skolem_V3939(nil), skolem_Y4242(nil))), cons(skolem_W4040(nil), Z43_43)), nil) => (lt(skolem_V3939(nil), skolem_W4040(nil)) | lt(skolem_W4040(nil), skolem_V3939(nil))))))
% 253.77/68.33
% 253.77/68.33 [116] DELTA_NOT_FORALL : ~! [Z43_43] : ((ssList(Z43_43) => (=(app(app(skolem_X4141(nil), cons(skolem_V3939(nil), skolem_Y4242(nil))), cons(skolem_W4040(nil), Z43_43)), nil) => (lt(skolem_V3939(nil), skolem_W4040(nil)) | lt(skolem_W4040(nil), skolem_V3939(nil))))))
% 253.77/68.33 -> [122] ~(ssList(skolem_Z4343(nil)) => (=(app(app(skolem_X4141(nil), cons(skolem_V3939(nil), skolem_Y4242(nil))), cons(skolem_W4040(nil), skolem_Z4343(nil))), nil) => (lt(skolem_V3939(nil), skolem_W4040(nil)) | lt(skolem_W4040(nil), skolem_V3939(nil)))))
% 253.77/68.33
% 253.77/68.33 [122] ALPHA_NOT_IMPLY : ~(ssList(skolem_Z4343(nil)) => (=(app(app(skolem_X4141(nil), cons(skolem_V3939(nil), skolem_Y4242(nil))), cons(skolem_W4040(nil), skolem_Z4343(nil))), nil) => (lt(skolem_V3939(nil), skolem_W4040(nil)) | lt(skolem_W4040(nil), skolem_V3939(nil)))))
% 253.77/68.33 -> [123] ssList(skolem_Z4343(nil)), ~(=(app(app(skolem_X4141(nil), cons(skolem_V3939(nil), skolem_Y4242(nil))), cons(skolem_W4040(nil), skolem_Z4343(nil))), nil) => (lt(skolem_V3939(nil), skolem_W4040(nil)) | lt(skolem_W4040(nil), skolem_V3939(nil))))
% 253.77/68.33
% 253.77/68.33 [123] ALPHA_NOT_IMPLY : ~(=(app(app(skolem_X4141(nil), cons(skolem_V3939(nil), skolem_Y4242(nil))), cons(skolem_W4040(nil), skolem_Z4343(nil))), nil) => (lt(skolem_V3939(nil), skolem_W4040(nil)) | lt(skolem_W4040(nil), skolem_V3939(nil))))
% 253.77/68.33 -> [131] =(app(app(skolem_X4141(nil), cons(skolem_V3939(nil), skolem_Y4242(nil))), cons(skolem_W4040(nil), skolem_Z4343(nil))), nil), ~(lt(skolem_V3939(nil), skolem_W4040(nil)) | lt(skolem_W4040(nil), skolem_V3939(nil)))
% 253.77/68.33
% 253.77/68.33 [131] ALPHA_NOT_OR : ~(lt(skolem_V3939(nil), skolem_W4040(nil)) | lt(skolem_W4040(nil), skolem_V3939(nil)))
% 253.77/68.33 -> [137] ~lt(skolem_V3939(nil), skolem_W4040(nil)), ~lt(skolem_W4040(nil), skolem_V3939(nil))
% 253.77/68.33
% 253.77/68.33 [137] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [74] GAMMA_FORALL : ! [U44_44] : ((ssList(U44_44) => (totalorderedP(U44_44) <=> ! [V45_45] : ((ssItem(V45_45) => ! [W46_46] : ((ssItem(W46_46) => ! [X47_47] : ((ssList(X47_47) => ! [Y48_48] : ((ssList(Y48_48) => ! [Z49_49] : ((ssList(Z49_49) => (=(app(app(X47_47, cons(V45_45, Y48_48)), cons(W46_46, Z49_49)), U44_44) => leq(V45_45, W46_46)))))))))))))))
% 253.77/68.33 -> [81] (ssList(nil) => (totalorderedP(nil) <=> ! [V45_45] : ((ssItem(V45_45) => ! [W46_46] : ((ssItem(W46_46) => ! [X47_47] : ((ssList(X47_47) => ! [Y48_48] : ((ssList(Y48_48) => ! [Z49_49] : ((ssList(Z49_49) => (=(app(app(X47_47, cons(V45_45, Y48_48)), cons(W46_46, Z49_49)), nil) => leq(V45_45, W46_46))))))))))))))
% 253.77/68.33
% 253.77/68.33 [81] BETA_IMPLY : (ssList(nil) => (totalorderedP(nil) <=> ! [V45_45] : ((ssItem(V45_45) => ! [W46_46] : ((ssItem(W46_46) => ! [X47_47] : ((ssList(X47_47) => ! [Y48_48] : ((ssList(Y48_48) => ! [Z49_49] : ((ssList(Z49_49) => (=(app(app(X47_47, cons(V45_45, Y48_48)), cons(W46_46, Z49_49)), nil) => leq(V45_45, W46_46))))))))))))))
% 253.77/68.33 -> [82] ~ssList(nil)
% 253.77/68.33 -> [83] (totalorderedP(nil) <=> ! [V45_45] : ((ssItem(V45_45) => ! [W46_46] : ((ssItem(W46_46) => ! [X47_47] : ((ssList(X47_47) => ! [Y48_48] : ((ssList(Y48_48) => ! [Z49_49] : ((ssList(Z49_49) => (=(app(app(X47_47, cons(V45_45, Y48_48)), cons(W46_46, Z49_49)), nil) => leq(V45_45, W46_46)))))))))))))
% 253.77/68.33
% 253.77/68.33 [82] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [83] BETA_EQUIV : (totalorderedP(nil) <=> ! [V45_45] : ((ssItem(V45_45) => ! [W46_46] : ((ssItem(W46_46) => ! [X47_47] : ((ssList(X47_47) => ! [Y48_48] : ((ssList(Y48_48) => ! [Z49_49] : ((ssList(Z49_49) => (=(app(app(X47_47, cons(V45_45, Y48_48)), cons(W46_46, Z49_49)), nil) => leq(V45_45, W46_46)))))))))))))
% 253.77/68.33 -> [84] ~totalorderedP(nil), ~! [V45_45] : ((ssItem(V45_45) => ! [W46_46] : ((ssItem(W46_46) => ! [X47_47] : ((ssList(X47_47) => ! [Y48_48] : ((ssList(Y48_48) => ! [Z49_49] : ((ssList(Z49_49) => (=(app(app(X47_47, cons(V45_45, Y48_48)), cons(W46_46, Z49_49)), nil) => leq(V45_45, W46_46))))))))))))
% 253.77/68.33 -> [85] totalorderedP(nil), ! [V45_45] : ((ssItem(V45_45) => ! [W46_46] : ((ssItem(W46_46) => ! [X47_47] : ((ssList(X47_47) => ! [Y48_48] : ((ssList(Y48_48) => ! [Z49_49] : ((ssList(Z49_49) => (=(app(app(X47_47, cons(V45_45, Y48_48)), cons(W46_46, Z49_49)), nil) => leq(V45_45, W46_46))))))))))))
% 253.77/68.33
% 253.77/68.33 [84] DELTA_NOT_FORALL : ~! [V45_45] : ((ssItem(V45_45) => ! [W46_46] : ((ssItem(W46_46) => ! [X47_47] : ((ssList(X47_47) => ! [Y48_48] : ((ssList(Y48_48) => ! [Z49_49] : ((ssList(Z49_49) => (=(app(app(X47_47, cons(V45_45, Y48_48)), cons(W46_46, Z49_49)), nil) => leq(V45_45, W46_46))))))))))))
% 253.77/68.33 -> [92] ~(ssItem(skolem_V4545(nil)) => ! [W46_46] : ((ssItem(W46_46) => ! [X47_47] : ((ssList(X47_47) => ! [Y48_48] : ((ssList(Y48_48) => ! [Z49_49] : ((ssList(Z49_49) => (=(app(app(X47_47, cons(skolem_V4545(nil), Y48_48)), cons(W46_46, Z49_49)), nil) => leq(skolem_V4545(nil), W46_46)))))))))))
% 253.77/68.33
% 253.77/68.33 [92] ALPHA_NOT_IMPLY : ~(ssItem(skolem_V4545(nil)) => ! [W46_46] : ((ssItem(W46_46) => ! [X47_47] : ((ssList(X47_47) => ! [Y48_48] : ((ssList(Y48_48) => ! [Z49_49] : ((ssList(Z49_49) => (=(app(app(X47_47, cons(skolem_V4545(nil), Y48_48)), cons(W46_46, Z49_49)), nil) => leq(skolem_V4545(nil), W46_46)))))))))))
% 253.77/68.33 -> [93] ssItem(skolem_V4545(nil)), ~! [W46_46] : ((ssItem(W46_46) => ! [X47_47] : ((ssList(X47_47) => ! [Y48_48] : ((ssList(Y48_48) => ! [Z49_49] : ((ssList(Z49_49) => (=(app(app(X47_47, cons(skolem_V4545(nil), Y48_48)), cons(W46_46, Z49_49)), nil) => leq(skolem_V4545(nil), W46_46))))))))))
% 253.77/68.33
% 253.77/68.33 [93] DELTA_NOT_FORALL : ~! [W46_46] : ((ssItem(W46_46) => ! [X47_47] : ((ssList(X47_47) => ! [Y48_48] : ((ssList(Y48_48) => ! [Z49_49] : ((ssList(Z49_49) => (=(app(app(X47_47, cons(skolem_V4545(nil), Y48_48)), cons(W46_46, Z49_49)), nil) => leq(skolem_V4545(nil), W46_46))))))))))
% 253.77/68.33 -> [105] ~(ssItem(skolem_W4646(nil)) => ! [X47_47] : ((ssList(X47_47) => ! [Y48_48] : ((ssList(Y48_48) => ! [Z49_49] : ((ssList(Z49_49) => (=(app(app(X47_47, cons(skolem_V4545(nil), Y48_48)), cons(skolem_W4646(nil), Z49_49)), nil) => leq(skolem_V4545(nil), skolem_W4646(nil))))))))))
% 253.77/68.33
% 253.77/68.33 [105] ALPHA_NOT_IMPLY : ~(ssItem(skolem_W4646(nil)) => ! [X47_47] : ((ssList(X47_47) => ! [Y48_48] : ((ssList(Y48_48) => ! [Z49_49] : ((ssList(Z49_49) => (=(app(app(X47_47, cons(skolem_V4545(nil), Y48_48)), cons(skolem_W4646(nil), Z49_49)), nil) => leq(skolem_V4545(nil), skolem_W4646(nil))))))))))
% 253.77/68.33 -> [106] ssItem(skolem_W4646(nil)), ~! [X47_47] : ((ssList(X47_47) => ! [Y48_48] : ((ssList(Y48_48) => ! [Z49_49] : ((ssList(Z49_49) => (=(app(app(X47_47, cons(skolem_V4545(nil), Y48_48)), cons(skolem_W4646(nil), Z49_49)), nil) => leq(skolem_V4545(nil), skolem_W4646(nil)))))))))
% 253.77/68.33
% 253.77/68.33 [106] DELTA_NOT_FORALL : ~! [X47_47] : ((ssList(X47_47) => ! [Y48_48] : ((ssList(Y48_48) => ! [Z49_49] : ((ssList(Z49_49) => (=(app(app(X47_47, cons(skolem_V4545(nil), Y48_48)), cons(skolem_W4646(nil), Z49_49)), nil) => leq(skolem_V4545(nil), skolem_W4646(nil)))))))))
% 253.77/68.33 -> [110] ~(ssList(skolem_X4747(nil)) => ! [Y48_48] : ((ssList(Y48_48) => ! [Z49_49] : ((ssList(Z49_49) => (=(app(app(skolem_X4747(nil), cons(skolem_V4545(nil), Y48_48)), cons(skolem_W4646(nil), Z49_49)), nil) => leq(skolem_V4545(nil), skolem_W4646(nil))))))))
% 253.77/68.33
% 253.77/68.33 [110] ALPHA_NOT_IMPLY : ~(ssList(skolem_X4747(nil)) => ! [Y48_48] : ((ssList(Y48_48) => ! [Z49_49] : ((ssList(Z49_49) => (=(app(app(skolem_X4747(nil), cons(skolem_V4545(nil), Y48_48)), cons(skolem_W4646(nil), Z49_49)), nil) => leq(skolem_V4545(nil), skolem_W4646(nil))))))))
% 253.77/68.33 -> [114] ssList(skolem_X4747(nil)), ~! [Y48_48] : ((ssList(Y48_48) => ! [Z49_49] : ((ssList(Z49_49) => (=(app(app(skolem_X4747(nil), cons(skolem_V4545(nil), Y48_48)), cons(skolem_W4646(nil), Z49_49)), nil) => leq(skolem_V4545(nil), skolem_W4646(nil)))))))
% 253.77/68.33
% 253.77/68.33 [114] DELTA_NOT_FORALL : ~! [Y48_48] : ((ssList(Y48_48) => ! [Z49_49] : ((ssList(Z49_49) => (=(app(app(skolem_X4747(nil), cons(skolem_V4545(nil), Y48_48)), cons(skolem_W4646(nil), Z49_49)), nil) => leq(skolem_V4545(nil), skolem_W4646(nil)))))))
% 253.77/68.33 -> [120] ~(ssList(skolem_Y4848(nil)) => ! [Z49_49] : ((ssList(Z49_49) => (=(app(app(skolem_X4747(nil), cons(skolem_V4545(nil), skolem_Y4848(nil))), cons(skolem_W4646(nil), Z49_49)), nil) => leq(skolem_V4545(nil), skolem_W4646(nil))))))
% 253.77/68.33
% 253.77/68.33 [120] ALPHA_NOT_IMPLY : ~(ssList(skolem_Y4848(nil)) => ! [Z49_49] : ((ssList(Z49_49) => (=(app(app(skolem_X4747(nil), cons(skolem_V4545(nil), skolem_Y4848(nil))), cons(skolem_W4646(nil), Z49_49)), nil) => leq(skolem_V4545(nil), skolem_W4646(nil))))))
% 253.77/68.33 -> [121] ssList(skolem_Y4848(nil)), ~! [Z49_49] : ((ssList(Z49_49) => (=(app(app(skolem_X4747(nil), cons(skolem_V4545(nil), skolem_Y4848(nil))), cons(skolem_W4646(nil), Z49_49)), nil) => leq(skolem_V4545(nil), skolem_W4646(nil)))))
% 253.77/68.33
% 253.77/68.33 [121] DELTA_NOT_FORALL : ~! [Z49_49] : ((ssList(Z49_49) => (=(app(app(skolem_X4747(nil), cons(skolem_V4545(nil), skolem_Y4848(nil))), cons(skolem_W4646(nil), Z49_49)), nil) => leq(skolem_V4545(nil), skolem_W4646(nil)))))
% 253.77/68.33 -> [129] ~(ssList(skolem_Z4949(nil)) => (=(app(app(skolem_X4747(nil), cons(skolem_V4545(nil), skolem_Y4848(nil))), cons(skolem_W4646(nil), skolem_Z4949(nil))), nil) => leq(skolem_V4545(nil), skolem_W4646(nil))))
% 253.77/68.33
% 253.77/68.33 [129] ALPHA_NOT_IMPLY : ~(ssList(skolem_Z4949(nil)) => (=(app(app(skolem_X4747(nil), cons(skolem_V4545(nil), skolem_Y4848(nil))), cons(skolem_W4646(nil), skolem_Z4949(nil))), nil) => leq(skolem_V4545(nil), skolem_W4646(nil))))
% 253.77/68.33 -> [130] ssList(skolem_Z4949(nil)), ~(=(app(app(skolem_X4747(nil), cons(skolem_V4545(nil), skolem_Y4848(nil))), cons(skolem_W4646(nil), skolem_Z4949(nil))), nil) => leq(skolem_V4545(nil), skolem_W4646(nil)))
% 253.77/68.33
% 253.77/68.33 [130] ALPHA_NOT_IMPLY : ~(=(app(app(skolem_X4747(nil), cons(skolem_V4545(nil), skolem_Y4848(nil))), cons(skolem_W4646(nil), skolem_Z4949(nil))), nil) => leq(skolem_V4545(nil), skolem_W4646(nil)))
% 253.77/68.33 -> [135] =(app(app(skolem_X4747(nil), cons(skolem_V4545(nil), skolem_Y4848(nil))), cons(skolem_W4646(nil), skolem_Z4949(nil))), nil), ~leq(skolem_V4545(nil), skolem_W4646(nil))
% 253.77/68.33
% 253.77/68.33 [135] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [85] GAMMA_FORALL : ! [U50_50] : ((ssList(U50_50) => (strictorderedP(U50_50) <=> ! [V51_51] : ((ssItem(V51_51) => ! [W52_52] : ((ssItem(W52_52) => ! [X53_53] : ((ssList(X53_53) => ! [Y54_54] : ((ssList(Y54_54) => ! [Z55_55] : ((ssList(Z55_55) => (=(app(app(X53_53, cons(V51_51, Y54_54)), cons(W52_52, Z55_55)), U50_50) => lt(V51_51, W52_52)))))))))))))))
% 253.77/68.33 -> [94] (ssList(nil) => (strictorderedP(nil) <=> ! [V51_51] : ((ssItem(V51_51) => ! [W52_52] : ((ssItem(W52_52) => ! [X53_53] : ((ssList(X53_53) => ! [Y54_54] : ((ssList(Y54_54) => ! [Z55_55] : ((ssList(Z55_55) => (=(app(app(X53_53, cons(V51_51, Y54_54)), cons(W52_52, Z55_55)), nil) => lt(V51_51, W52_52))))))))))))))
% 253.77/68.33
% 253.77/68.33 [94] BETA_IMPLY : (ssList(nil) => (strictorderedP(nil) <=> ! [V51_51] : ((ssItem(V51_51) => ! [W52_52] : ((ssItem(W52_52) => ! [X53_53] : ((ssList(X53_53) => ! [Y54_54] : ((ssList(Y54_54) => ! [Z55_55] : ((ssList(Z55_55) => (=(app(app(X53_53, cons(V51_51, Y54_54)), cons(W52_52, Z55_55)), nil) => lt(V51_51, W52_52))))))))))))))
% 253.77/68.33 -> [95] ~ssList(nil)
% 253.77/68.33 -> [96] (strictorderedP(nil) <=> ! [V51_51] : ((ssItem(V51_51) => ! [W52_52] : ((ssItem(W52_52) => ! [X53_53] : ((ssList(X53_53) => ! [Y54_54] : ((ssList(Y54_54) => ! [Z55_55] : ((ssList(Z55_55) => (=(app(app(X53_53, cons(V51_51, Y54_54)), cons(W52_52, Z55_55)), nil) => lt(V51_51, W52_52)))))))))))))
% 253.77/68.33
% 253.77/68.33 [95] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [96] BETA_EQUIV : (strictorderedP(nil) <=> ! [V51_51] : ((ssItem(V51_51) => ! [W52_52] : ((ssItem(W52_52) => ! [X53_53] : ((ssList(X53_53) => ! [Y54_54] : ((ssList(Y54_54) => ! [Z55_55] : ((ssList(Z55_55) => (=(app(app(X53_53, cons(V51_51, Y54_54)), cons(W52_52, Z55_55)), nil) => lt(V51_51, W52_52)))))))))))))
% 253.77/68.33 -> [97] ~strictorderedP(nil), ~! [V51_51] : ((ssItem(V51_51) => ! [W52_52] : ((ssItem(W52_52) => ! [X53_53] : ((ssList(X53_53) => ! [Y54_54] : ((ssList(Y54_54) => ! [Z55_55] : ((ssList(Z55_55) => (=(app(app(X53_53, cons(V51_51, Y54_54)), cons(W52_52, Z55_55)), nil) => lt(V51_51, W52_52))))))))))))
% 253.77/68.33 -> [98] strictorderedP(nil), ! [V51_51] : ((ssItem(V51_51) => ! [W52_52] : ((ssItem(W52_52) => ! [X53_53] : ((ssList(X53_53) => ! [Y54_54] : ((ssList(Y54_54) => ! [Z55_55] : ((ssList(Z55_55) => (=(app(app(X53_53, cons(V51_51, Y54_54)), cons(W52_52, Z55_55)), nil) => lt(V51_51, W52_52))))))))))))
% 253.77/68.33
% 253.77/68.33 [97] DELTA_NOT_FORALL : ~! [V51_51] : ((ssItem(V51_51) => ! [W52_52] : ((ssItem(W52_52) => ! [X53_53] : ((ssList(X53_53) => ! [Y54_54] : ((ssList(Y54_54) => ! [Z55_55] : ((ssList(Z55_55) => (=(app(app(X53_53, cons(V51_51, Y54_54)), cons(W52_52, Z55_55)), nil) => lt(V51_51, W52_52))))))))))))
% 253.77/68.33 -> [107] ~(ssItem(skolem_V5151(nil)) => ! [W52_52] : ((ssItem(W52_52) => ! [X53_53] : ((ssList(X53_53) => ! [Y54_54] : ((ssList(Y54_54) => ! [Z55_55] : ((ssList(Z55_55) => (=(app(app(X53_53, cons(skolem_V5151(nil), Y54_54)), cons(W52_52, Z55_55)), nil) => lt(skolem_V5151(nil), W52_52)))))))))))
% 253.77/68.33
% 253.77/68.33 [107] ALPHA_NOT_IMPLY : ~(ssItem(skolem_V5151(nil)) => ! [W52_52] : ((ssItem(W52_52) => ! [X53_53] : ((ssList(X53_53) => ! [Y54_54] : ((ssList(Y54_54) => ! [Z55_55] : ((ssList(Z55_55) => (=(app(app(X53_53, cons(skolem_V5151(nil), Y54_54)), cons(W52_52, Z55_55)), nil) => lt(skolem_V5151(nil), W52_52)))))))))))
% 253.77/68.33 -> [108] ssItem(skolem_V5151(nil)), ~! [W52_52] : ((ssItem(W52_52) => ! [X53_53] : ((ssList(X53_53) => ! [Y54_54] : ((ssList(Y54_54) => ! [Z55_55] : ((ssList(Z55_55) => (=(app(app(X53_53, cons(skolem_V5151(nil), Y54_54)), cons(W52_52, Z55_55)), nil) => lt(skolem_V5151(nil), W52_52))))))))))
% 253.77/68.33
% 253.77/68.33 [108] DELTA_NOT_FORALL : ~! [W52_52] : ((ssItem(W52_52) => ! [X53_53] : ((ssList(X53_53) => ! [Y54_54] : ((ssList(Y54_54) => ! [Z55_55] : ((ssList(Z55_55) => (=(app(app(X53_53, cons(skolem_V5151(nil), Y54_54)), cons(W52_52, Z55_55)), nil) => lt(skolem_V5151(nil), W52_52))))))))))
% 253.77/68.33 -> [109] ~(ssItem(skolem_W5252(nil)) => ! [X53_53] : ((ssList(X53_53) => ! [Y54_54] : ((ssList(Y54_54) => ! [Z55_55] : ((ssList(Z55_55) => (=(app(app(X53_53, cons(skolem_V5151(nil), Y54_54)), cons(skolem_W5252(nil), Z55_55)), nil) => lt(skolem_V5151(nil), skolem_W5252(nil))))))))))
% 253.77/68.33
% 253.77/68.33 [109] ALPHA_NOT_IMPLY : ~(ssItem(skolem_W5252(nil)) => ! [X53_53] : ((ssList(X53_53) => ! [Y54_54] : ((ssList(Y54_54) => ! [Z55_55] : ((ssList(Z55_55) => (=(app(app(X53_53, cons(skolem_V5151(nil), Y54_54)), cons(skolem_W5252(nil), Z55_55)), nil) => lt(skolem_V5151(nil), skolem_W5252(nil))))))))))
% 253.77/68.33 -> [113] ssItem(skolem_W5252(nil)), ~! [X53_53] : ((ssList(X53_53) => ! [Y54_54] : ((ssList(Y54_54) => ! [Z55_55] : ((ssList(Z55_55) => (=(app(app(X53_53, cons(skolem_V5151(nil), Y54_54)), cons(skolem_W5252(nil), Z55_55)), nil) => lt(skolem_V5151(nil), skolem_W5252(nil)))))))))
% 253.77/68.33
% 253.77/68.33 [113] DELTA_NOT_FORALL : ~! [X53_53] : ((ssList(X53_53) => ! [Y54_54] : ((ssList(Y54_54) => ! [Z55_55] : ((ssList(Z55_55) => (=(app(app(X53_53, cons(skolem_V5151(nil), Y54_54)), cons(skolem_W5252(nil), Z55_55)), nil) => lt(skolem_V5151(nil), skolem_W5252(nil)))))))))
% 253.77/68.33 -> [118] ~(ssList(skolem_X5353(nil)) => ! [Y54_54] : ((ssList(Y54_54) => ! [Z55_55] : ((ssList(Z55_55) => (=(app(app(skolem_X5353(nil), cons(skolem_V5151(nil), Y54_54)), cons(skolem_W5252(nil), Z55_55)), nil) => lt(skolem_V5151(nil), skolem_W5252(nil))))))))
% 253.77/68.33
% 253.77/68.33 [118] ALPHA_NOT_IMPLY : ~(ssList(skolem_X5353(nil)) => ! [Y54_54] : ((ssList(Y54_54) => ! [Z55_55] : ((ssList(Z55_55) => (=(app(app(skolem_X5353(nil), cons(skolem_V5151(nil), Y54_54)), cons(skolem_W5252(nil), Z55_55)), nil) => lt(skolem_V5151(nil), skolem_W5252(nil))))))))
% 253.77/68.33 -> [119] ssList(skolem_X5353(nil)), ~! [Y54_54] : ((ssList(Y54_54) => ! [Z55_55] : ((ssList(Z55_55) => (=(app(app(skolem_X5353(nil), cons(skolem_V5151(nil), Y54_54)), cons(skolem_W5252(nil), Z55_55)), nil) => lt(skolem_V5151(nil), skolem_W5252(nil)))))))
% 253.77/68.33
% 253.77/68.33 [119] DELTA_NOT_FORALL : ~! [Y54_54] : ((ssList(Y54_54) => ! [Z55_55] : ((ssList(Z55_55) => (=(app(app(skolem_X5353(nil), cons(skolem_V5151(nil), Y54_54)), cons(skolem_W5252(nil), Z55_55)), nil) => lt(skolem_V5151(nil), skolem_W5252(nil)))))))
% 253.77/68.33 -> [127] ~(ssList(skolem_Y5454(nil)) => ! [Z55_55] : ((ssList(Z55_55) => (=(app(app(skolem_X5353(nil), cons(skolem_V5151(nil), skolem_Y5454(nil))), cons(skolem_W5252(nil), Z55_55)), nil) => lt(skolem_V5151(nil), skolem_W5252(nil))))))
% 253.77/68.33
% 253.77/68.33 [127] ALPHA_NOT_IMPLY : ~(ssList(skolem_Y5454(nil)) => ! [Z55_55] : ((ssList(Z55_55) => (=(app(app(skolem_X5353(nil), cons(skolem_V5151(nil), skolem_Y5454(nil))), cons(skolem_W5252(nil), Z55_55)), nil) => lt(skolem_V5151(nil), skolem_W5252(nil))))))
% 253.77/68.33 -> [128] ssList(skolem_Y5454(nil)), ~! [Z55_55] : ((ssList(Z55_55) => (=(app(app(skolem_X5353(nil), cons(skolem_V5151(nil), skolem_Y5454(nil))), cons(skolem_W5252(nil), Z55_55)), nil) => lt(skolem_V5151(nil), skolem_W5252(nil)))))
% 253.77/68.33
% 253.77/68.33 [128] DELTA_NOT_FORALL : ~! [Z55_55] : ((ssList(Z55_55) => (=(app(app(skolem_X5353(nil), cons(skolem_V5151(nil), skolem_Y5454(nil))), cons(skolem_W5252(nil), Z55_55)), nil) => lt(skolem_V5151(nil), skolem_W5252(nil)))))
% 253.77/68.33 -> [133] ~(ssList(skolem_Z5555(nil)) => (=(app(app(skolem_X5353(nil), cons(skolem_V5151(nil), skolem_Y5454(nil))), cons(skolem_W5252(nil), skolem_Z5555(nil))), nil) => lt(skolem_V5151(nil), skolem_W5252(nil))))
% 253.77/68.33
% 253.77/68.33 [133] ALPHA_NOT_IMPLY : ~(ssList(skolem_Z5555(nil)) => (=(app(app(skolem_X5353(nil), cons(skolem_V5151(nil), skolem_Y5454(nil))), cons(skolem_W5252(nil), skolem_Z5555(nil))), nil) => lt(skolem_V5151(nil), skolem_W5252(nil))))
% 253.77/68.33 -> [134] ssList(skolem_Z5555(nil)), ~(=(app(app(skolem_X5353(nil), cons(skolem_V5151(nil), skolem_Y5454(nil))), cons(skolem_W5252(nil), skolem_Z5555(nil))), nil) => lt(skolem_V5151(nil), skolem_W5252(nil)))
% 253.77/68.33
% 253.77/68.33 [134] ALPHA_NOT_IMPLY : ~(=(app(app(skolem_X5353(nil), cons(skolem_V5151(nil), skolem_Y5454(nil))), cons(skolem_W5252(nil), skolem_Z5555(nil))), nil) => lt(skolem_V5151(nil), skolem_W5252(nil)))
% 253.77/68.33 -> [136] =(app(app(skolem_X5353(nil), cons(skolem_V5151(nil), skolem_Y5454(nil))), cons(skolem_W5252(nil), skolem_Z5555(nil))), nil), ~lt(skolem_V5151(nil), skolem_W5252(nil))
% 253.77/68.33
% 253.77/68.33 [136] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [98] GAMMA_FORALL : ! [U56_56] : ((ssList(U56_56) => (duplicatefreeP(U56_56) <=> ! [V57_57] : ((ssItem(V57_57) => ! [W58_58] : ((ssItem(W58_58) => ! [X59_59] : ((ssList(X59_59) => ! [Y60_60] : ((ssList(Y60_60) => ! [Z61_61] : ((ssList(Z61_61) => (=(app(app(X59_59, cons(V57_57, Y60_60)), cons(W58_58, Z61_61)), U56_56) => ~=(V57_57, W58_58)))))))))))))))
% 253.77/68.33 -> [138] (ssList(nil) => (duplicatefreeP(nil) <=> ! [V57_57] : ((ssItem(V57_57) => ! [W58_58] : ((ssItem(W58_58) => ! [X59_59] : ((ssList(X59_59) => ! [Y60_60] : ((ssList(Y60_60) => ! [Z61_61] : ((ssList(Z61_61) => (=(app(app(X59_59, cons(V57_57, Y60_60)), cons(W58_58, Z61_61)), nil) => ~=(V57_57, W58_58))))))))))))))
% 253.77/68.33
% 253.77/68.33 [138] BETA_IMPLY : (ssList(nil) => (duplicatefreeP(nil) <=> ! [V57_57] : ((ssItem(V57_57) => ! [W58_58] : ((ssItem(W58_58) => ! [X59_59] : ((ssList(X59_59) => ! [Y60_60] : ((ssList(Y60_60) => ! [Z61_61] : ((ssList(Z61_61) => (=(app(app(X59_59, cons(V57_57, Y60_60)), cons(W58_58, Z61_61)), nil) => ~=(V57_57, W58_58))))))))))))))
% 253.77/68.33 -> [139] ~ssList(nil)
% 253.77/68.33 -> [140] (duplicatefreeP(nil) <=> ! [V57_57] : ((ssItem(V57_57) => ! [W58_58] : ((ssItem(W58_58) => ! [X59_59] : ((ssList(X59_59) => ! [Y60_60] : ((ssList(Y60_60) => ! [Z61_61] : ((ssList(Z61_61) => (=(app(app(X59_59, cons(V57_57, Y60_60)), cons(W58_58, Z61_61)), nil) => ~=(V57_57, W58_58)))))))))))))
% 253.77/68.33
% 253.77/68.33 [139] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [140] BETA_EQUIV : (duplicatefreeP(nil) <=> ! [V57_57] : ((ssItem(V57_57) => ! [W58_58] : ((ssItem(W58_58) => ! [X59_59] : ((ssList(X59_59) => ! [Y60_60] : ((ssList(Y60_60) => ! [Z61_61] : ((ssList(Z61_61) => (=(app(app(X59_59, cons(V57_57, Y60_60)), cons(W58_58, Z61_61)), nil) => ~=(V57_57, W58_58)))))))))))))
% 253.77/68.33 -> [141] ~duplicatefreeP(nil), ~! [V57_57] : ((ssItem(V57_57) => ! [W58_58] : ((ssItem(W58_58) => ! [X59_59] : ((ssList(X59_59) => ! [Y60_60] : ((ssList(Y60_60) => ! [Z61_61] : ((ssList(Z61_61) => (=(app(app(X59_59, cons(V57_57, Y60_60)), cons(W58_58, Z61_61)), nil) => ~=(V57_57, W58_58))))))))))))
% 253.77/68.33 -> [142] duplicatefreeP(nil), ! [V57_57] : ((ssItem(V57_57) => ! [W58_58] : ((ssItem(W58_58) => ! [X59_59] : ((ssList(X59_59) => ! [Y60_60] : ((ssList(Y60_60) => ! [Z61_61] : ((ssList(Z61_61) => (=(app(app(X59_59, cons(V57_57, Y60_60)), cons(W58_58, Z61_61)), nil) => ~=(V57_57, W58_58))))))))))))
% 253.77/68.33
% 253.77/68.33 [141] DELTA_NOT_FORALL : ~! [V57_57] : ((ssItem(V57_57) => ! [W58_58] : ((ssItem(W58_58) => ! [X59_59] : ((ssList(X59_59) => ! [Y60_60] : ((ssList(Y60_60) => ! [Z61_61] : ((ssList(Z61_61) => (=(app(app(X59_59, cons(V57_57, Y60_60)), cons(W58_58, Z61_61)), nil) => ~=(V57_57, W58_58))))))))))))
% 253.77/68.33 -> [143] ~(ssItem(skolem_V5757(nil)) => ! [W58_58] : ((ssItem(W58_58) => ! [X59_59] : ((ssList(X59_59) => ! [Y60_60] : ((ssList(Y60_60) => ! [Z61_61] : ((ssList(Z61_61) => (=(app(app(X59_59, cons(skolem_V5757(nil), Y60_60)), cons(W58_58, Z61_61)), nil) => ~=(skolem_V5757(nil), W58_58)))))))))))
% 253.77/68.33
% 253.77/68.33 [143] ALPHA_NOT_IMPLY : ~(ssItem(skolem_V5757(nil)) => ! [W58_58] : ((ssItem(W58_58) => ! [X59_59] : ((ssList(X59_59) => ! [Y60_60] : ((ssList(Y60_60) => ! [Z61_61] : ((ssList(Z61_61) => (=(app(app(X59_59, cons(skolem_V5757(nil), Y60_60)), cons(W58_58, Z61_61)), nil) => ~=(skolem_V5757(nil), W58_58)))))))))))
% 253.77/68.33 -> [144] ssItem(skolem_V5757(nil)), ~! [W58_58] : ((ssItem(W58_58) => ! [X59_59] : ((ssList(X59_59) => ! [Y60_60] : ((ssList(Y60_60) => ! [Z61_61] : ((ssList(Z61_61) => (=(app(app(X59_59, cons(skolem_V5757(nil), Y60_60)), cons(W58_58, Z61_61)), nil) => ~=(skolem_V5757(nil), W58_58))))))))))
% 253.77/68.33
% 253.77/68.33 [144] DELTA_NOT_FORALL : ~! [W58_58] : ((ssItem(W58_58) => ! [X59_59] : ((ssList(X59_59) => ! [Y60_60] : ((ssList(Y60_60) => ! [Z61_61] : ((ssList(Z61_61) => (=(app(app(X59_59, cons(skolem_V5757(nil), Y60_60)), cons(W58_58, Z61_61)), nil) => ~=(skolem_V5757(nil), W58_58))))))))))
% 253.77/68.33 -> [150] ~(ssItem(skolem_W5858(nil)) => ! [X59_59] : ((ssList(X59_59) => ! [Y60_60] : ((ssList(Y60_60) => ! [Z61_61] : ((ssList(Z61_61) => (=(app(app(X59_59, cons(skolem_V5757(nil), Y60_60)), cons(skolem_W5858(nil), Z61_61)), nil) => ~=(skolem_V5757(nil), skolem_W5858(nil))))))))))
% 253.77/68.33
% 253.77/68.33 [150] ALPHA_NOT_IMPLY : ~(ssItem(skolem_W5858(nil)) => ! [X59_59] : ((ssList(X59_59) => ! [Y60_60] : ((ssList(Y60_60) => ! [Z61_61] : ((ssList(Z61_61) => (=(app(app(X59_59, cons(skolem_V5757(nil), Y60_60)), cons(skolem_W5858(nil), Z61_61)), nil) => ~=(skolem_V5757(nil), skolem_W5858(nil))))))))))
% 253.77/68.33 -> [151] ssItem(skolem_W5858(nil)), ~! [X59_59] : ((ssList(X59_59) => ! [Y60_60] : ((ssList(Y60_60) => ! [Z61_61] : ((ssList(Z61_61) => (=(app(app(X59_59, cons(skolem_V5757(nil), Y60_60)), cons(skolem_W5858(nil), Z61_61)), nil) => ~=(skolem_V5757(nil), skolem_W5858(nil)))))))))
% 253.77/68.33
% 253.77/68.33 [151] DELTA_NOT_FORALL : ~! [X59_59] : ((ssList(X59_59) => ! [Y60_60] : ((ssList(Y60_60) => ! [Z61_61] : ((ssList(Z61_61) => (=(app(app(X59_59, cons(skolem_V5757(nil), Y60_60)), cons(skolem_W5858(nil), Z61_61)), nil) => ~=(skolem_V5757(nil), skolem_W5858(nil)))))))))
% 253.77/68.33 -> [157] ~(ssList(skolem_X5959(nil)) => ! [Y60_60] : ((ssList(Y60_60) => ! [Z61_61] : ((ssList(Z61_61) => (=(app(app(skolem_X5959(nil), cons(skolem_V5757(nil), Y60_60)), cons(skolem_W5858(nil), Z61_61)), nil) => ~=(skolem_V5757(nil), skolem_W5858(nil))))))))
% 253.77/68.33
% 253.77/68.33 [157] ALPHA_NOT_IMPLY : ~(ssList(skolem_X5959(nil)) => ! [Y60_60] : ((ssList(Y60_60) => ! [Z61_61] : ((ssList(Z61_61) => (=(app(app(skolem_X5959(nil), cons(skolem_V5757(nil), Y60_60)), cons(skolem_W5858(nil), Z61_61)), nil) => ~=(skolem_V5757(nil), skolem_W5858(nil))))))))
% 253.77/68.33 -> [158] ssList(skolem_X5959(nil)), ~! [Y60_60] : ((ssList(Y60_60) => ! [Z61_61] : ((ssList(Z61_61) => (=(app(app(skolem_X5959(nil), cons(skolem_V5757(nil), Y60_60)), cons(skolem_W5858(nil), Z61_61)), nil) => ~=(skolem_V5757(nil), skolem_W5858(nil)))))))
% 253.77/68.33
% 253.77/68.33 [158] DELTA_NOT_FORALL : ~! [Y60_60] : ((ssList(Y60_60) => ! [Z61_61] : ((ssList(Z61_61) => (=(app(app(skolem_X5959(nil), cons(skolem_V5757(nil), Y60_60)), cons(skolem_W5858(nil), Z61_61)), nil) => ~=(skolem_V5757(nil), skolem_W5858(nil)))))))
% 253.77/68.33 -> [177] ~(ssList(skolem_Y6060(nil)) => ! [Z61_61] : ((ssList(Z61_61) => (=(app(app(skolem_X5959(nil), cons(skolem_V5757(nil), skolem_Y6060(nil))), cons(skolem_W5858(nil), Z61_61)), nil) => ~=(skolem_V5757(nil), skolem_W5858(nil))))))
% 253.77/68.33
% 253.77/68.33 [177] ALPHA_NOT_IMPLY : ~(ssList(skolem_Y6060(nil)) => ! [Z61_61] : ((ssList(Z61_61) => (=(app(app(skolem_X5959(nil), cons(skolem_V5757(nil), skolem_Y6060(nil))), cons(skolem_W5858(nil), Z61_61)), nil) => ~=(skolem_V5757(nil), skolem_W5858(nil))))))
% 253.77/68.33 -> [178] ssList(skolem_Y6060(nil)), ~! [Z61_61] : ((ssList(Z61_61) => (=(app(app(skolem_X5959(nil), cons(skolem_V5757(nil), skolem_Y6060(nil))), cons(skolem_W5858(nil), Z61_61)), nil) => ~=(skolem_V5757(nil), skolem_W5858(nil)))))
% 253.77/68.33
% 253.77/68.33 [178] DELTA_NOT_FORALL : ~! [Z61_61] : ((ssList(Z61_61) => (=(app(app(skolem_X5959(nil), cons(skolem_V5757(nil), skolem_Y6060(nil))), cons(skolem_W5858(nil), Z61_61)), nil) => ~=(skolem_V5757(nil), skolem_W5858(nil)))))
% 253.77/68.33 -> [183] ~(ssList(skolem_Z6161(nil)) => (=(app(app(skolem_X5959(nil), cons(skolem_V5757(nil), skolem_Y6060(nil))), cons(skolem_W5858(nil), skolem_Z6161(nil))), nil) => ~=(skolem_V5757(nil), skolem_W5858(nil))))
% 253.77/68.33
% 253.77/68.33 [183] ALPHA_NOT_IMPLY : ~(ssList(skolem_Z6161(nil)) => (=(app(app(skolem_X5959(nil), cons(skolem_V5757(nil), skolem_Y6060(nil))), cons(skolem_W5858(nil), skolem_Z6161(nil))), nil) => ~=(skolem_V5757(nil), skolem_W5858(nil))))
% 253.77/68.33 -> [184] ssList(skolem_Z6161(nil)), ~(=(app(app(skolem_X5959(nil), cons(skolem_V5757(nil), skolem_Y6060(nil))), cons(skolem_W5858(nil), skolem_Z6161(nil))), nil) => ~=(skolem_V5757(nil), skolem_W5858(nil)))
% 253.77/68.33
% 253.77/68.33 [184] ALPHA_NOT_IMPLY : ~(=(app(app(skolem_X5959(nil), cons(skolem_V5757(nil), skolem_Y6060(nil))), cons(skolem_W5858(nil), skolem_Z6161(nil))), nil) => ~=(skolem_V5757(nil), skolem_W5858(nil)))
% 253.77/68.33 -> [190] =(app(app(skolem_X5959(nil), cons(skolem_V5757(nil), skolem_Y6060(nil))), cons(skolem_W5858(nil), skolem_Z6161(nil))), nil), ~~=(skolem_V5757(nil), skolem_W5858(nil))
% 253.77/68.33
% 253.77/68.33 [190] ALPHA_NOT_NOT : ~~=(skolem_V5757(nil), skolem_W5858(nil))
% 253.77/68.33 -> [207] =(skolem_V5757(nil), skolem_W5858(nil))
% 253.77/68.33
% 253.77/68.33 [207] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [142] GAMMA_FORALL : ! [U62_62] : ((ssList(U62_62) => (equalelemsP(U62_62) <=> ! [V63_63] : ((ssItem(V63_63) => ! [W64_64] : ((ssItem(W64_64) => ! [X65_65] : ((ssList(X65_65) => ! [Y66_66] : ((ssList(Y66_66) => (=(app(X65_65, cons(V63_63, cons(W64_64, Y66_66))), U62_62) => =(V63_63, W64_64)))))))))))))
% 253.77/68.33 -> [145] (ssList(nil) => (equalelemsP(nil) <=> ! [V63_63] : ((ssItem(V63_63) => ! [W64_64] : ((ssItem(W64_64) => ! [X65_65] : ((ssList(X65_65) => ! [Y66_66] : ((ssList(Y66_66) => (=(app(X65_65, cons(V63_63, cons(W64_64, Y66_66))), nil) => =(V63_63, W64_64))))))))))))
% 253.77/68.33
% 253.77/68.33 [145] BETA_IMPLY : (ssList(nil) => (equalelemsP(nil) <=> ! [V63_63] : ((ssItem(V63_63) => ! [W64_64] : ((ssItem(W64_64) => ! [X65_65] : ((ssList(X65_65) => ! [Y66_66] : ((ssList(Y66_66) => (=(app(X65_65, cons(V63_63, cons(W64_64, Y66_66))), nil) => =(V63_63, W64_64))))))))))))
% 253.77/68.33 -> [146] ~ssList(nil)
% 253.77/68.33 -> [147] (equalelemsP(nil) <=> ! [V63_63] : ((ssItem(V63_63) => ! [W64_64] : ((ssItem(W64_64) => ! [X65_65] : ((ssList(X65_65) => ! [Y66_66] : ((ssList(Y66_66) => (=(app(X65_65, cons(V63_63, cons(W64_64, Y66_66))), nil) => =(V63_63, W64_64)))))))))))
% 253.77/68.33
% 253.77/68.33 [146] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [147] BETA_EQUIV : (equalelemsP(nil) <=> ! [V63_63] : ((ssItem(V63_63) => ! [W64_64] : ((ssItem(W64_64) => ! [X65_65] : ((ssList(X65_65) => ! [Y66_66] : ((ssList(Y66_66) => (=(app(X65_65, cons(V63_63, cons(W64_64, Y66_66))), nil) => =(V63_63, W64_64)))))))))))
% 253.77/68.33 -> [148] ~equalelemsP(nil), ~! [V63_63] : ((ssItem(V63_63) => ! [W64_64] : ((ssItem(W64_64) => ! [X65_65] : ((ssList(X65_65) => ! [Y66_66] : ((ssList(Y66_66) => (=(app(X65_65, cons(V63_63, cons(W64_64, Y66_66))), nil) => =(V63_63, W64_64))))))))))
% 253.77/68.33 -> [149] equalelemsP(nil), ! [V63_63] : ((ssItem(V63_63) => ! [W64_64] : ((ssItem(W64_64) => ! [X65_65] : ((ssList(X65_65) => ! [Y66_66] : ((ssList(Y66_66) => (=(app(X65_65, cons(V63_63, cons(W64_64, Y66_66))), nil) => =(V63_63, W64_64))))))))))
% 253.77/68.33
% 253.77/68.33 [148] DELTA_NOT_FORALL : ~! [V63_63] : ((ssItem(V63_63) => ! [W64_64] : ((ssItem(W64_64) => ! [X65_65] : ((ssList(X65_65) => ! [Y66_66] : ((ssList(Y66_66) => (=(app(X65_65, cons(V63_63, cons(W64_64, Y66_66))), nil) => =(V63_63, W64_64))))))))))
% 253.77/68.33 -> [152] ~(ssItem(skolem_V6363(nil)) => ! [W64_64] : ((ssItem(W64_64) => ! [X65_65] : ((ssList(X65_65) => ! [Y66_66] : ((ssList(Y66_66) => (=(app(X65_65, cons(skolem_V6363(nil), cons(W64_64, Y66_66))), nil) => =(skolem_V6363(nil), W64_64)))))))))
% 253.77/68.33
% 253.77/68.33 [152] ALPHA_NOT_IMPLY : ~(ssItem(skolem_V6363(nil)) => ! [W64_64] : ((ssItem(W64_64) => ! [X65_65] : ((ssList(X65_65) => ! [Y66_66] : ((ssList(Y66_66) => (=(app(X65_65, cons(skolem_V6363(nil), cons(W64_64, Y66_66))), nil) => =(skolem_V6363(nil), W64_64)))))))))
% 253.77/68.33 -> [153] ssItem(skolem_V6363(nil)), ~! [W64_64] : ((ssItem(W64_64) => ! [X65_65] : ((ssList(X65_65) => ! [Y66_66] : ((ssList(Y66_66) => (=(app(X65_65, cons(skolem_V6363(nil), cons(W64_64, Y66_66))), nil) => =(skolem_V6363(nil), W64_64))))))))
% 253.77/68.33
% 253.77/68.33 [153] DELTA_NOT_FORALL : ~! [W64_64] : ((ssItem(W64_64) => ! [X65_65] : ((ssList(X65_65) => ! [Y66_66] : ((ssList(Y66_66) => (=(app(X65_65, cons(skolem_V6363(nil), cons(W64_64, Y66_66))), nil) => =(skolem_V6363(nil), W64_64))))))))
% 253.77/68.33 -> [165] ~(ssItem(skolem_W6464(nil)) => ! [X65_65] : ((ssList(X65_65) => ! [Y66_66] : ((ssList(Y66_66) => (=(app(X65_65, cons(skolem_V6363(nil), cons(skolem_W6464(nil), Y66_66))), nil) => =(skolem_V6363(nil), skolem_W6464(nil))))))))
% 253.77/68.33
% 253.77/68.33 [165] ALPHA_NOT_IMPLY : ~(ssItem(skolem_W6464(nil)) => ! [X65_65] : ((ssList(X65_65) => ! [Y66_66] : ((ssList(Y66_66) => (=(app(X65_65, cons(skolem_V6363(nil), cons(skolem_W6464(nil), Y66_66))), nil) => =(skolem_V6363(nil), skolem_W6464(nil))))))))
% 253.77/68.33 -> [167] ssItem(skolem_W6464(nil)), ~! [X65_65] : ((ssList(X65_65) => ! [Y66_66] : ((ssList(Y66_66) => (=(app(X65_65, cons(skolem_V6363(nil), cons(skolem_W6464(nil), Y66_66))), nil) => =(skolem_V6363(nil), skolem_W6464(nil)))))))
% 253.77/68.33
% 253.77/68.33 [167] DELTA_NOT_FORALL : ~! [X65_65] : ((ssList(X65_65) => ! [Y66_66] : ((ssList(Y66_66) => (=(app(X65_65, cons(skolem_V6363(nil), cons(skolem_W6464(nil), Y66_66))), nil) => =(skolem_V6363(nil), skolem_W6464(nil)))))))
% 253.77/68.33 -> [179] ~(ssList(skolem_X6565(nil)) => ! [Y66_66] : ((ssList(Y66_66) => (=(app(skolem_X6565(nil), cons(skolem_V6363(nil), cons(skolem_W6464(nil), Y66_66))), nil) => =(skolem_V6363(nil), skolem_W6464(nil))))))
% 253.77/68.33
% 253.77/68.33 [179] ALPHA_NOT_IMPLY : ~(ssList(skolem_X6565(nil)) => ! [Y66_66] : ((ssList(Y66_66) => (=(app(skolem_X6565(nil), cons(skolem_V6363(nil), cons(skolem_W6464(nil), Y66_66))), nil) => =(skolem_V6363(nil), skolem_W6464(nil))))))
% 253.77/68.33 -> [180] ssList(skolem_X6565(nil)), ~! [Y66_66] : ((ssList(Y66_66) => (=(app(skolem_X6565(nil), cons(skolem_V6363(nil), cons(skolem_W6464(nil), Y66_66))), nil) => =(skolem_V6363(nil), skolem_W6464(nil)))))
% 253.77/68.33
% 253.77/68.33 [180] DELTA_NOT_FORALL : ~! [Y66_66] : ((ssList(Y66_66) => (=(app(skolem_X6565(nil), cons(skolem_V6363(nil), cons(skolem_W6464(nil), Y66_66))), nil) => =(skolem_V6363(nil), skolem_W6464(nil)))))
% 253.77/68.33 -> [185] ~(ssList(skolem_Y6666(nil)) => (=(app(skolem_X6565(nil), cons(skolem_V6363(nil), cons(skolem_W6464(nil), skolem_Y6666(nil)))), nil) => =(skolem_V6363(nil), skolem_W6464(nil))))
% 253.77/68.33
% 253.77/68.33 [185] ALPHA_NOT_IMPLY : ~(ssList(skolem_Y6666(nil)) => (=(app(skolem_X6565(nil), cons(skolem_V6363(nil), cons(skolem_W6464(nil), skolem_Y6666(nil)))), nil) => =(skolem_V6363(nil), skolem_W6464(nil))))
% 253.77/68.33 -> [186] ssList(skolem_Y6666(nil)), ~(=(app(skolem_X6565(nil), cons(skolem_V6363(nil), cons(skolem_W6464(nil), skolem_Y6666(nil)))), nil) => =(skolem_V6363(nil), skolem_W6464(nil)))
% 253.77/68.33
% 253.77/68.33 [186] ALPHA_NOT_IMPLY : ~(=(app(skolem_X6565(nil), cons(skolem_V6363(nil), cons(skolem_W6464(nil), skolem_Y6666(nil)))), nil) => =(skolem_V6363(nil), skolem_W6464(nil)))
% 253.77/68.33 -> [191] =(app(skolem_X6565(nil), cons(skolem_V6363(nil), cons(skolem_W6464(nil), skolem_Y6666(nil)))), nil), ~=(skolem_V6363(nil), skolem_W6464(nil))
% 253.77/68.33
% 253.77/68.33 [191] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [149] GAMMA_FORALL : ! [U67_67] : ((ssList(U67_67) => ! [V68_68] : ((ssList(V68_68) => (neq(U67_67, V68_68) <=> ~=(U67_67, V68_68))))))
% 253.77/68.33 -> [154] (ssList(skolem_V210210) => ! [V68_68] : ((ssList(V68_68) => (neq(skolem_V210210, V68_68) <=> ~=(skolem_V210210, V68_68)))))
% 253.77/68.33
% 253.77/68.33 [154] BETA_IMPLY : (ssList(skolem_V210210) => ! [V68_68] : ((ssList(V68_68) => (neq(skolem_V210210, V68_68) <=> ~=(skolem_V210210, V68_68)))))
% 253.77/68.33 -> [155] ~ssList(skolem_V210210)
% 253.77/68.33 -> [156] ! [V68_68] : ((ssList(V68_68) => (neq(skolem_V210210, V68_68) <=> ~=(skolem_V210210, V68_68))))
% 253.77/68.33
% 253.77/68.33 [155] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [156] GAMMA_FORALL : ! [U69_69] : ((ssList(U69_69) => ! [V70_70] : ((ssItem(V70_70) => ssList(cons(V70_70, U69_69))))))
% 253.77/68.33 -> [159] (ssList(skolem_X212212) => ! [V70_70] : ((ssItem(V70_70) => ssList(cons(V70_70, skolem_X212212)))))
% 253.77/68.33
% 253.77/68.33 [159] BETA_IMPLY : (ssList(skolem_X212212) => ! [V70_70] : ((ssItem(V70_70) => ssList(cons(V70_70, skolem_X212212)))))
% 253.77/68.33 -> [160] ~ssList(skolem_X212212)
% 253.77/68.33 -> [161] ! [V70_70] : ((ssItem(V70_70) => ssList(cons(V70_70, skolem_X212212))))
% 253.77/68.33
% 253.77/68.33 [160] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [161] GAMMA_FORALL : ! [U71_71] : ((ssList(U71_71) => ! [V72_72] : ((ssItem(V72_72) => ~=(cons(V72_72, U71_71), U71_71)))))
% 253.77/68.33 -> [162] (ssList(skolem_U209209) => ! [V72_72] : ((ssItem(V72_72) => ~=(cons(V72_72, skolem_U209209), skolem_U209209))))
% 253.77/68.33
% 253.77/68.33 [162] BETA_IMPLY : (ssList(skolem_U209209) => ! [V72_72] : ((ssItem(V72_72) => ~=(cons(V72_72, skolem_U209209), skolem_U209209))))
% 253.77/68.33 -> [163] ~ssList(skolem_U209209)
% 253.77/68.33 -> [164] ! [V72_72] : ((ssItem(V72_72) => ~=(cons(V72_72, skolem_U209209), skolem_U209209)))
% 253.77/68.33
% 253.77/68.33 [163] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [164] GAMMA_FORALL : ! [U73_73] : ((ssList(U73_73) => ! [V74_74] : ((ssList(V74_74) => ! [W75_75] : ((ssItem(W75_75) => ! [X76_76] : ((ssItem(X76_76) => (=(cons(W75_75, U73_73), cons(X76_76, V74_74)) => (=(W75_75, X76_76) & =(V74_74, U73_73)))))))))))
% 253.77/68.33 -> [166] (ssList(skolem_X212212) => ! [V74_74] : ((ssList(V74_74) => ! [W75_75] : ((ssItem(W75_75) => ! [X76_76] : ((ssItem(X76_76) => (=(cons(W75_75, skolem_X212212), cons(X76_76, V74_74)) => (=(W75_75, X76_76) & =(V74_74, skolem_X212212))))))))))
% 253.77/68.33
% 253.77/68.33 [166] BETA_IMPLY : (ssList(skolem_X212212) => ! [V74_74] : ((ssList(V74_74) => ! [W75_75] : ((ssItem(W75_75) => ! [X76_76] : ((ssItem(X76_76) => (=(cons(W75_75, skolem_X212212), cons(X76_76, V74_74)) => (=(W75_75, X76_76) & =(V74_74, skolem_X212212))))))))))
% 253.77/68.33 -> [168] ~ssList(skolem_X212212)
% 253.77/68.33 -> [169] ! [V74_74] : ((ssList(V74_74) => ! [W75_75] : ((ssItem(W75_75) => ! [X76_76] : ((ssItem(X76_76) => (=(cons(W75_75, skolem_X212212), cons(X76_76, V74_74)) => (=(W75_75, X76_76) & =(V74_74, skolem_X212212)))))))))
% 253.77/68.33
% 253.77/68.33 [168] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [169] GAMMA_FORALL : ! [U77_77] : ((ssList(U77_77) => (=(nil, U77_77) | ? [V78_78] : ((ssList(V78_78) & ? [W79_79] : ((ssItem(W79_79) & =(cons(W79_79, V78_78), U77_77))))))))
% 253.77/68.33 -> [170] (ssList(skolem_U209209) => (=(nil, skolem_U209209) | ? [V78_78] : ((ssList(V78_78) & ? [W79_79] : ((ssItem(W79_79) & =(cons(W79_79, V78_78), skolem_U209209)))))))
% 253.77/68.33
% 253.77/68.33 [170] BETA_IMPLY : (ssList(skolem_U209209) => (=(nil, skolem_U209209) | ? [V78_78] : ((ssList(V78_78) & ? [W79_79] : ((ssItem(W79_79) & =(cons(W79_79, V78_78), skolem_U209209)))))))
% 253.77/68.33 -> [171] ~ssList(skolem_U209209)
% 253.77/68.33 -> [172] (=(nil, skolem_U209209) | ? [V78_78] : ((ssList(V78_78) & ? [W79_79] : ((ssItem(W79_79) & =(cons(W79_79, V78_78), skolem_U209209))))))
% 253.77/68.33
% 253.77/68.33 [171] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [172] BETA_OR : (=(nil, skolem_U209209) | ? [V78_78] : ((ssList(V78_78) & ? [W79_79] : ((ssItem(W79_79) & =(cons(W79_79, V78_78), skolem_U209209))))))
% 253.77/68.33 -> [173] =(nil, skolem_U209209)
% 253.77/68.33 -> [174] ? [V78_78] : ((ssList(V78_78) & ? [W79_79] : ((ssItem(W79_79) & =(cons(W79_79, V78_78), skolem_U209209)))))
% 253.77/68.33
% 253.77/68.33 [173] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [174] DELTA_EXISTS : ? [V78_78] : ((ssList(V78_78) & ? [W79_79] : ((ssItem(W79_79) & =(cons(W79_79, V78_78), skolem_U209209)))))
% 253.77/68.33 -> [175] (ssList(skolem_V7878(skolem_U209209)) & ? [W79_79] : ((ssItem(W79_79) & =(cons(W79_79, skolem_V7878(skolem_U209209)), skolem_U209209))))
% 253.77/68.33
% 253.77/68.33 [175] ALPHA_AND : (ssList(skolem_V7878(skolem_U209209)) & ? [W79_79] : ((ssItem(W79_79) & =(cons(W79_79, skolem_V7878(skolem_U209209)), skolem_U209209))))
% 253.77/68.33 -> [176] ssList(skolem_V7878(skolem_U209209)), ? [W79_79] : ((ssItem(W79_79) & =(cons(W79_79, skolem_V7878(skolem_U209209)), skolem_U209209)))
% 253.77/68.33
% 253.77/68.33 [176] DELTA_EXISTS : ? [W79_79] : ((ssItem(W79_79) & =(cons(W79_79, skolem_V7878(skolem_U209209)), skolem_U209209)))
% 253.77/68.33 -> [181] (ssItem(skolem_W7979(skolem_U209209)) & =(cons(skolem_W7979(skolem_U209209), skolem_V7878(skolem_U209209)), skolem_U209209))
% 253.77/68.33
% 253.77/68.33 [181] ALPHA_AND : (ssItem(skolem_W7979(skolem_U209209)) & =(cons(skolem_W7979(skolem_U209209), skolem_V7878(skolem_U209209)), skolem_U209209))
% 253.77/68.33 -> [182] ssItem(skolem_W7979(skolem_U209209)), =(cons(skolem_W7979(skolem_U209209), skolem_V7878(skolem_U209209)), skolem_U209209)
% 253.77/68.33
% 253.77/68.33 [182] GAMMA_FORALL : ! [U80_80] : ((ssList(U80_80) => ! [V81_81] : ((ssItem(V81_81) => ~=(nil, cons(V81_81, U80_80))))))
% 253.77/68.33 -> [187] (ssList(skolem_V210210) => ! [V81_81] : ((ssItem(V81_81) => ~=(nil, cons(V81_81, skolem_V210210)))))
% 253.77/68.33
% 253.77/68.33 [187] BETA_IMPLY : (ssList(skolem_V210210) => ! [V81_81] : ((ssItem(V81_81) => ~=(nil, cons(V81_81, skolem_V210210)))))
% 253.77/68.33 -> [188] ~ssList(skolem_V210210)
% 253.77/68.33 -> [189] ! [V81_81] : ((ssItem(V81_81) => ~=(nil, cons(V81_81, skolem_V210210))))
% 253.77/68.33
% 253.77/68.33 [188] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [189] GAMMA_FORALL : ! [U82_82] : ((ssList(U82_82) => (~=(nil, U82_82) => ssItem(hd(U82_82)))))
% 253.77/68.33 -> [192] (ssList(skolem_U209209) => (~=(nil, skolem_U209209) => ssItem(hd(skolem_U209209))))
% 253.77/68.33
% 253.77/68.33 [192] BETA_IMPLY : (ssList(skolem_U209209) => (~=(nil, skolem_U209209) => ssItem(hd(skolem_U209209))))
% 253.77/68.33 -> [193] ~ssList(skolem_U209209)
% 253.77/68.33 -> [194] (~=(nil, skolem_U209209) => ssItem(hd(skolem_U209209)))
% 253.77/68.33
% 253.77/68.33 [193] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [194] BETA_IMPLY : (~=(nil, skolem_U209209) => ssItem(hd(skolem_U209209)))
% 253.77/68.33 -> [195] ~~=(nil, skolem_U209209)
% 253.77/68.33 -> [196] ssItem(hd(skolem_U209209))
% 253.77/68.33
% 253.77/68.33 [195] ALPHA_NOT_NOT : ~~=(nil, skolem_U209209)
% 253.77/68.33 -> [197] =(nil, skolem_U209209)
% 253.77/68.33
% 253.77/68.33 [197] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [196] GAMMA_FORALL : ! [U83_83] : ((ssList(U83_83) => ! [V84_84] : ((ssItem(V84_84) => =(hd(cons(V84_84, U83_83)), V84_84)))))
% 253.77/68.33 -> [198] (ssList(skolem_W211211) => ! [V84_84] : ((ssItem(V84_84) => =(hd(cons(V84_84, skolem_W211211)), V84_84))))
% 253.77/68.33
% 253.77/68.33 [198] BETA_IMPLY : (ssList(skolem_W211211) => ! [V84_84] : ((ssItem(V84_84) => =(hd(cons(V84_84, skolem_W211211)), V84_84))))
% 253.77/68.33 -> [199] ~ssList(skolem_W211211)
% 253.77/68.33 -> [200] ! [V84_84] : ((ssItem(V84_84) => =(hd(cons(V84_84, skolem_W211211)), V84_84)))
% 253.77/68.33
% 253.77/68.33 [199] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [200] GAMMA_FORALL : ! [U85_85] : ((ssList(U85_85) => (~=(nil, U85_85) => ssList(tl(U85_85)))))
% 253.77/68.33 -> [201] (ssList(skolem_U209209) => (~=(nil, skolem_U209209) => ssList(tl(skolem_U209209))))
% 253.77/68.33
% 253.77/68.33 [201] BETA_IMPLY : (ssList(skolem_U209209) => (~=(nil, skolem_U209209) => ssList(tl(skolem_U209209))))
% 253.77/68.33 -> [202] ~ssList(skolem_U209209)
% 253.77/68.33 -> [203] (~=(nil, skolem_U209209) => ssList(tl(skolem_U209209)))
% 253.77/68.33
% 253.77/68.33 [202] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [203] BETA_IMPLY : (~=(nil, skolem_U209209) => ssList(tl(skolem_U209209)))
% 253.77/68.33 -> [204] ~~=(nil, skolem_U209209)
% 253.77/68.33 -> [205] ssList(tl(skolem_U209209))
% 253.77/68.33
% 253.77/68.33 [204] ALPHA_NOT_NOT : ~~=(nil, skolem_U209209)
% 253.77/68.33 -> [206] =(nil, skolem_U209209)
% 253.77/68.33
% 253.77/68.33 [206] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [205] GAMMA_FORALL : ! [U86_86] : ((ssList(U86_86) => ! [V87_87] : ((ssItem(V87_87) => =(tl(cons(V87_87, U86_86)), U86_86)))))
% 253.77/68.33 -> [208] (ssList(tl(skolem_U209209)) => ! [V87_87] : ((ssItem(V87_87) => =(tl(cons(V87_87, tl(skolem_U209209))), tl(skolem_U209209)))))
% 253.77/68.33
% 253.77/68.33 [208] BETA_IMPLY : (ssList(tl(skolem_U209209)) => ! [V87_87] : ((ssItem(V87_87) => =(tl(cons(V87_87, tl(skolem_U209209))), tl(skolem_U209209)))))
% 253.77/68.33 -> [209] ~ssList(tl(skolem_U209209))
% 253.77/68.33 -> [210] ! [V87_87] : ((ssItem(V87_87) => =(tl(cons(V87_87, tl(skolem_U209209))), tl(skolem_U209209))))
% 253.77/68.33
% 253.77/68.33 [209] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [210] GAMMA_FORALL : ! [U88_88] : ((ssList(U88_88) => ! [V89_89] : ((ssList(V89_89) => ssList(app(U88_88, V89_89))))))
% 253.77/68.33 -> [211] (ssList(nil) => ! [V89_89] : ((ssList(V89_89) => ssList(app(nil, V89_89)))))
% 253.77/68.33
% 253.77/68.33 [211] BETA_IMPLY : (ssList(nil) => ! [V89_89] : ((ssList(V89_89) => ssList(app(nil, V89_89)))))
% 253.77/68.33 -> [212] ~ssList(nil)
% 253.77/68.33 -> [213] ! [V89_89] : ((ssList(V89_89) => ssList(app(nil, V89_89))))
% 253.77/68.33
% 253.77/68.33 [212] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [213] GAMMA_FORALL : ! [U90_90] : ((ssList(U90_90) => ! [V91_91] : ((ssList(V91_91) => ! [W92_92] : ((ssItem(W92_92) => =(cons(W92_92, app(V91_91, U90_90)), app(cons(W92_92, V91_91), U90_90))))))))
% 253.77/68.33 -> [214] (ssList(skolem_V210210) => ! [V91_91] : ((ssList(V91_91) => ! [W92_92] : ((ssItem(W92_92) => =(cons(W92_92, app(V91_91, skolem_V210210)), app(cons(W92_92, V91_91), skolem_V210210)))))))
% 253.77/68.33
% 253.77/68.33 [214] BETA_IMPLY : (ssList(skolem_V210210) => ! [V91_91] : ((ssList(V91_91) => ! [W92_92] : ((ssItem(W92_92) => =(cons(W92_92, app(V91_91, skolem_V210210)), app(cons(W92_92, V91_91), skolem_V210210)))))))
% 253.77/68.33 -> [215] ~ssList(skolem_V210210)
% 253.77/68.33 -> [216] ! [V91_91] : ((ssList(V91_91) => ! [W92_92] : ((ssItem(W92_92) => =(cons(W92_92, app(V91_91, skolem_V210210)), app(cons(W92_92, V91_91), skolem_V210210))))))
% 253.77/68.33
% 253.77/68.33 [215] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [216] GAMMA_FORALL : ! [U93_93] : ((ssList(U93_93) => =(app(nil, U93_93), U93_93)))
% 253.77/68.33 -> [217] (ssList(skolem_U209209) => =(app(nil, skolem_U209209), skolem_U209209))
% 253.77/68.33
% 253.77/68.33 [217] BETA_IMPLY : (ssList(skolem_U209209) => =(app(nil, skolem_U209209), skolem_U209209))
% 253.77/68.33 -> [218] ~ssList(skolem_U209209)
% 253.77/68.33 -> [219] =(app(nil, skolem_U209209), skolem_U209209)
% 253.77/68.33
% 253.77/68.33 [218] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [219] GAMMA_FORALL : ! [U94_94] : ((ssItem(U94_94) => ! [V95_95] : ((ssItem(V95_95) => ((leq(U94_94, V95_95) & leq(V95_95, U94_94)) => =(U94_94, V95_95))))))
% 253.77/68.33 -> [220] (ssItem(skolem_V99) => ! [V95_95] : ((ssItem(V95_95) => ((leq(skolem_V99, V95_95) & leq(V95_95, skolem_V99)) => =(skolem_V99, V95_95)))))
% 253.77/68.33
% 253.77/68.33 [220] BETA_IMPLY : (ssItem(skolem_V99) => ! [V95_95] : ((ssItem(V95_95) => ((leq(skolem_V99, V95_95) & leq(V95_95, skolem_V99)) => =(skolem_V99, V95_95)))))
% 253.77/68.33 -> [221] ~ssItem(skolem_V99)
% 253.77/68.33 -> [222] ! [V95_95] : ((ssItem(V95_95) => ((leq(skolem_V99, V95_95) & leq(V95_95, skolem_V99)) => =(skolem_V99, V95_95))))
% 253.77/68.33
% 253.77/68.33 [221] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [222] GAMMA_FORALL : ! [U96_96] : ((ssItem(U96_96) => ! [V97_97] : ((ssItem(V97_97) => ! [W98_98] : ((ssItem(W98_98) => ((leq(U96_96, V97_97) & leq(V97_97, W98_98)) => leq(U96_96, W98_98))))))))
% 253.77/68.33 -> [223] (ssItem(hd(skolem_U209209)) => ! [V97_97] : ((ssItem(V97_97) => ! [W98_98] : ((ssItem(W98_98) => ((leq(hd(skolem_U209209), V97_97) & leq(V97_97, W98_98)) => leq(hd(skolem_U209209), W98_98)))))))
% 253.77/68.33
% 253.77/68.33 [223] BETA_IMPLY : (ssItem(hd(skolem_U209209)) => ! [V97_97] : ((ssItem(V97_97) => ! [W98_98] : ((ssItem(W98_98) => ((leq(hd(skolem_U209209), V97_97) & leq(V97_97, W98_98)) => leq(hd(skolem_U209209), W98_98)))))))
% 253.77/68.33 -> [224] ~ssItem(hd(skolem_U209209))
% 253.77/68.33 -> [225] ! [V97_97] : ((ssItem(V97_97) => ! [W98_98] : ((ssItem(W98_98) => ((leq(hd(skolem_U209209), V97_97) & leq(V97_97, W98_98)) => leq(hd(skolem_U209209), W98_98))))))
% 253.77/68.33
% 253.77/68.33 [224] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [225] GAMMA_FORALL : ! [U99_99] : ((ssItem(U99_99) => leq(U99_99, U99_99)))
% 253.77/68.33 -> [226] (ssItem(skolem_V99) => leq(skolem_V99, skolem_V99))
% 253.77/68.33
% 253.77/68.33 [226] BETA_IMPLY : (ssItem(skolem_V99) => leq(skolem_V99, skolem_V99))
% 253.77/68.33 -> [227] ~ssItem(skolem_V99)
% 253.77/68.33 -> [228] leq(skolem_V99, skolem_V99)
% 253.77/68.33
% 253.77/68.33 [227] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [228] GAMMA_FORALL : ! [U100_100] : ((ssItem(U100_100) => ! [V101_101] : ((ssItem(V101_101) => (geq(U100_100, V101_101) <=> leq(V101_101, U100_100))))))
% 253.77/68.33 -> [229] (ssItem(skolem_U88) => ! [V101_101] : ((ssItem(V101_101) => (geq(skolem_U88, V101_101) <=> leq(V101_101, skolem_U88)))))
% 253.77/68.33
% 253.77/68.33 [229] BETA_IMPLY : (ssItem(skolem_U88) => ! [V101_101] : ((ssItem(V101_101) => (geq(skolem_U88, V101_101) <=> leq(V101_101, skolem_U88)))))
% 253.77/68.33 -> [230] ~ssItem(skolem_U88)
% 253.77/68.33 -> [231] ! [V101_101] : ((ssItem(V101_101) => (geq(skolem_U88, V101_101) <=> leq(V101_101, skolem_U88))))
% 253.77/68.33
% 253.77/68.33 [230] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [231] GAMMA_FORALL : ! [U102_102] : ((ssItem(U102_102) => ! [V103_103] : ((ssItem(V103_103) => (lt(U102_102, V103_103) => ~lt(V103_103, U102_102))))))
% 253.77/68.33 -> [232] (ssItem(skolem_U88) => ! [V103_103] : ((ssItem(V103_103) => (lt(skolem_U88, V103_103) => ~lt(V103_103, skolem_U88)))))
% 253.77/68.33
% 253.77/68.33 [232] BETA_IMPLY : (ssItem(skolem_U88) => ! [V103_103] : ((ssItem(V103_103) => (lt(skolem_U88, V103_103) => ~lt(V103_103, skolem_U88)))))
% 253.77/68.33 -> [233] ~ssItem(skolem_U88)
% 253.77/68.33 -> [234] ! [V103_103] : ((ssItem(V103_103) => (lt(skolem_U88, V103_103) => ~lt(V103_103, skolem_U88))))
% 253.77/68.33
% 253.77/68.33 [233] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [234] GAMMA_FORALL : ! [U104_104] : ((ssItem(U104_104) => ! [V105_105] : ((ssItem(V105_105) => ! [W106_106] : ((ssItem(W106_106) => ((lt(U104_104, V105_105) & lt(V105_105, W106_106)) => lt(U104_104, W106_106))))))))
% 253.77/68.33 -> [235] (ssItem(hd(skolem_U209209)) => ! [V105_105] : ((ssItem(V105_105) => ! [W106_106] : ((ssItem(W106_106) => ((lt(hd(skolem_U209209), V105_105) & lt(V105_105, W106_106)) => lt(hd(skolem_U209209), W106_106)))))))
% 253.77/68.33
% 253.77/68.33 [235] BETA_IMPLY : (ssItem(hd(skolem_U209209)) => ! [V105_105] : ((ssItem(V105_105) => ! [W106_106] : ((ssItem(W106_106) => ((lt(hd(skolem_U209209), V105_105) & lt(V105_105, W106_106)) => lt(hd(skolem_U209209), W106_106)))))))
% 253.77/68.33 -> [236] ~ssItem(hd(skolem_U209209))
% 253.77/68.33 -> [237] ! [V105_105] : ((ssItem(V105_105) => ! [W106_106] : ((ssItem(W106_106) => ((lt(hd(skolem_U209209), V105_105) & lt(V105_105, W106_106)) => lt(hd(skolem_U209209), W106_106))))))
% 253.77/68.33
% 253.77/68.33 [236] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [237] GAMMA_FORALL : ! [U107_107] : ((ssItem(U107_107) => ! [V108_108] : ((ssItem(V108_108) => (gt(U107_107, V108_108) <=> lt(V108_108, U107_107))))))
% 253.77/68.33 -> [238] (ssItem(skolem_Y213213) => ! [V108_108] : ((ssItem(V108_108) => (gt(skolem_Y213213, V108_108) <=> lt(V108_108, skolem_Y213213)))))
% 253.77/68.33
% 253.77/68.33 [238] BETA_IMPLY : (ssItem(skolem_Y213213) => ! [V108_108] : ((ssItem(V108_108) => (gt(skolem_Y213213, V108_108) <=> lt(V108_108, skolem_Y213213)))))
% 253.77/68.33 -> [239] ~ssItem(skolem_Y213213)
% 253.77/68.33 -> [240] ! [V108_108] : ((ssItem(V108_108) => (gt(skolem_Y213213, V108_108) <=> lt(V108_108, skolem_Y213213))))
% 253.77/68.33
% 253.77/68.33 [239] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [240] GAMMA_FORALL : ! [U109_109] : ((ssItem(U109_109) => ! [V110_110] : ((ssList(V110_110) => ! [W111_111] : ((ssList(W111_111) => (memberP(app(V110_110, W111_111), U109_109) <=> (memberP(V110_110, U109_109) | memberP(W111_111, U109_109)))))))))
% 253.77/68.33 -> [241] (ssItem(skolem_V99) => ! [V110_110] : ((ssList(V110_110) => ! [W111_111] : ((ssList(W111_111) => (memberP(app(V110_110, W111_111), skolem_V99) <=> (memberP(V110_110, skolem_V99) | memberP(W111_111, skolem_V99))))))))
% 253.77/68.33
% 253.77/68.33 [241] BETA_IMPLY : (ssItem(skolem_V99) => ! [V110_110] : ((ssList(V110_110) => ! [W111_111] : ((ssList(W111_111) => (memberP(app(V110_110, W111_111), skolem_V99) <=> (memberP(V110_110, skolem_V99) | memberP(W111_111, skolem_V99))))))))
% 253.77/68.33 -> [242] ~ssItem(skolem_V99)
% 253.77/68.33 -> [243] ! [V110_110] : ((ssList(V110_110) => ! [W111_111] : ((ssList(W111_111) => (memberP(app(V110_110, W111_111), skolem_V99) <=> (memberP(V110_110, skolem_V99) | memberP(W111_111, skolem_V99)))))))
% 253.77/68.33
% 253.77/68.33 [242] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [243] GAMMA_FORALL : ! [U112_112] : ((ssItem(U112_112) => ! [V113_113] : ((ssItem(V113_113) => ! [W114_114] : ((ssList(W114_114) => (memberP(cons(V113_113, W114_114), U112_112) <=> (=(U112_112, V113_113) | memberP(W114_114, U112_112)))))))))
% 253.77/68.33 -> [244] (ssItem(hd(skolem_U209209)) => ! [V113_113] : ((ssItem(V113_113) => ! [W114_114] : ((ssList(W114_114) => (memberP(cons(V113_113, W114_114), hd(skolem_U209209)) <=> (=(hd(skolem_U209209), V113_113) | memberP(W114_114, hd(skolem_U209209)))))))))
% 253.77/68.33
% 253.77/68.33 [244] BETA_IMPLY : (ssItem(hd(skolem_U209209)) => ! [V113_113] : ((ssItem(V113_113) => ! [W114_114] : ((ssList(W114_114) => (memberP(cons(V113_113, W114_114), hd(skolem_U209209)) <=> (=(hd(skolem_U209209), V113_113) | memberP(W114_114, hd(skolem_U209209)))))))))
% 253.77/68.33 -> [245] ~ssItem(hd(skolem_U209209))
% 253.77/68.33 -> [246] ! [V113_113] : ((ssItem(V113_113) => ! [W114_114] : ((ssList(W114_114) => (memberP(cons(V113_113, W114_114), hd(skolem_U209209)) <=> (=(hd(skolem_U209209), V113_113) | memberP(W114_114, hd(skolem_U209209))))))))
% 253.77/68.33
% 253.77/68.33 [245] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [246] GAMMA_FORALL : ! [U115_115] : ((ssItem(U115_115) => ~memberP(nil, U115_115)))
% 253.77/68.33 -> [247] (ssItem(hd(skolem_U209209)) => ~memberP(nil, hd(skolem_U209209)))
% 253.77/68.33
% 253.77/68.33 [247] BETA_IMPLY : (ssItem(hd(skolem_U209209)) => ~memberP(nil, hd(skolem_U209209)))
% 253.77/68.33 -> [248] ~ssItem(hd(skolem_U209209))
% 253.77/68.33 -> [249] ~memberP(nil, hd(skolem_U209209))
% 253.77/68.33
% 253.77/68.33 [248] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [249] GAMMA_FORALL : ! [U116_116] : ((ssList(U116_116) => ! [V117_117] : ((ssList(V117_117) => ! [W118_118] : ((ssList(W118_118) => ((frontsegP(U116_116, V117_117) & frontsegP(V117_117, W118_118)) => frontsegP(U116_116, W118_118))))))))
% 253.77/68.33 -> [250] (ssList(nil) => ! [V117_117] : ((ssList(V117_117) => ! [W118_118] : ((ssList(W118_118) => ((frontsegP(nil, V117_117) & frontsegP(V117_117, W118_118)) => frontsegP(nil, W118_118)))))))
% 253.77/68.33
% 253.77/68.33 [250] BETA_IMPLY : (ssList(nil) => ! [V117_117] : ((ssList(V117_117) => ! [W118_118] : ((ssList(W118_118) => ((frontsegP(nil, V117_117) & frontsegP(V117_117, W118_118)) => frontsegP(nil, W118_118)))))))
% 253.77/68.33 -> [251] ~ssList(nil)
% 253.77/68.33 -> [252] ! [V117_117] : ((ssList(V117_117) => ! [W118_118] : ((ssList(W118_118) => ((frontsegP(nil, V117_117) & frontsegP(V117_117, W118_118)) => frontsegP(nil, W118_118))))))
% 253.77/68.33
% 253.77/68.33 [251] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [252] GAMMA_FORALL : ! [U119_119] : ((ssList(U119_119) => ! [V120_120] : ((ssList(V120_120) => ((frontsegP(U119_119, V120_120) & frontsegP(V120_120, U119_119)) => =(U119_119, V120_120))))))
% 253.77/68.33 -> [253] (ssList(skolem_W211211) => ! [V120_120] : ((ssList(V120_120) => ((frontsegP(skolem_W211211, V120_120) & frontsegP(V120_120, skolem_W211211)) => =(skolem_W211211, V120_120)))))
% 253.77/68.33
% 253.77/68.33 [253] BETA_IMPLY : (ssList(skolem_W211211) => ! [V120_120] : ((ssList(V120_120) => ((frontsegP(skolem_W211211, V120_120) & frontsegP(V120_120, skolem_W211211)) => =(skolem_W211211, V120_120)))))
% 253.77/68.33 -> [254] ~ssList(skolem_W211211)
% 253.77/68.33 -> [255] ! [V120_120] : ((ssList(V120_120) => ((frontsegP(skolem_W211211, V120_120) & frontsegP(V120_120, skolem_W211211)) => =(skolem_W211211, V120_120))))
% 253.77/68.33
% 253.77/68.33 [254] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [255] GAMMA_FORALL : ! [U121_121] : ((ssList(U121_121) => frontsegP(U121_121, U121_121)))
% 253.77/68.33 -> [256] (ssList(skolem_V7878(skolem_U209209)) => frontsegP(skolem_V7878(skolem_U209209), skolem_V7878(skolem_U209209)))
% 253.77/68.33
% 253.77/68.33 [256] BETA_IMPLY : (ssList(skolem_V7878(skolem_U209209)) => frontsegP(skolem_V7878(skolem_U209209), skolem_V7878(skolem_U209209)))
% 253.77/68.33 -> [257] ~ssList(skolem_V7878(skolem_U209209))
% 253.77/68.33 -> [258] frontsegP(skolem_V7878(skolem_U209209), skolem_V7878(skolem_U209209))
% 253.77/68.33
% 253.77/68.33 [257] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [258] GAMMA_FORALL : ! [U122_122] : ((ssList(U122_122) => ! [V123_123] : ((ssList(V123_123) => ! [W124_124] : ((ssList(W124_124) => (frontsegP(U122_122, V123_123) => frontsegP(app(U122_122, W124_124), V123_123))))))))
% 253.77/68.33 -> [259] (ssList(skolem_W211211) => ! [V123_123] : ((ssList(V123_123) => ! [W124_124] : ((ssList(W124_124) => (frontsegP(skolem_W211211, V123_123) => frontsegP(app(skolem_W211211, W124_124), V123_123)))))))
% 253.77/68.33
% 253.77/68.33 [259] BETA_IMPLY : (ssList(skolem_W211211) => ! [V123_123] : ((ssList(V123_123) => ! [W124_124] : ((ssList(W124_124) => (frontsegP(skolem_W211211, V123_123) => frontsegP(app(skolem_W211211, W124_124), V123_123)))))))
% 253.77/68.33 -> [260] ~ssList(skolem_W211211)
% 253.77/68.33 -> [261] ! [V123_123] : ((ssList(V123_123) => ! [W124_124] : ((ssList(W124_124) => (frontsegP(skolem_W211211, V123_123) => frontsegP(app(skolem_W211211, W124_124), V123_123))))))
% 253.77/68.33
% 253.77/68.33 [260] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [261] GAMMA_FORALL : ! [U125_125] : ((ssItem(U125_125) => ! [V126_126] : ((ssItem(V126_126) => ! [W127_127] : ((ssList(W127_127) => ! [X128_128] : ((ssList(X128_128) => (frontsegP(cons(U125_125, W127_127), cons(V126_126, X128_128)) <=> (=(U125_125, V126_126) & frontsegP(W127_127, X128_128)))))))))))
% 253.77/68.33 -> [262] (ssItem(skolem_V99) => ! [V126_126] : ((ssItem(V126_126) => ! [W127_127] : ((ssList(W127_127) => ! [X128_128] : ((ssList(X128_128) => (frontsegP(cons(skolem_V99, W127_127), cons(V126_126, X128_128)) <=> (=(skolem_V99, V126_126) & frontsegP(W127_127, X128_128))))))))))
% 253.77/68.33
% 253.77/68.33 [262] BETA_IMPLY : (ssItem(skolem_V99) => ! [V126_126] : ((ssItem(V126_126) => ! [W127_127] : ((ssList(W127_127) => ! [X128_128] : ((ssList(X128_128) => (frontsegP(cons(skolem_V99, W127_127), cons(V126_126, X128_128)) <=> (=(skolem_V99, V126_126) & frontsegP(W127_127, X128_128))))))))))
% 253.77/68.33 -> [263] ~ssItem(skolem_V99)
% 253.77/68.33 -> [264] ! [V126_126] : ((ssItem(V126_126) => ! [W127_127] : ((ssList(W127_127) => ! [X128_128] : ((ssList(X128_128) => (frontsegP(cons(skolem_V99, W127_127), cons(V126_126, X128_128)) <=> (=(skolem_V99, V126_126) & frontsegP(W127_127, X128_128)))))))))
% 253.77/68.33
% 253.77/68.33 [263] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [264] GAMMA_FORALL : ! [U129_129] : ((ssList(U129_129) => frontsegP(U129_129, nil)))
% 253.77/68.33 -> [265] (ssList(nil) => frontsegP(nil, nil))
% 253.77/68.33
% 253.77/68.33 [265] BETA_IMPLY : (ssList(nil) => frontsegP(nil, nil))
% 253.77/68.33 -> [266] ~ssList(nil)
% 253.77/68.33 -> [267] frontsegP(nil, nil)
% 253.77/68.33
% 253.77/68.33 [266] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [267] GAMMA_FORALL : ! [U130_130] : ((ssList(U130_130) => (frontsegP(nil, U130_130) <=> =(nil, U130_130))))
% 253.77/68.33 -> [268] (ssList(skolem_W211211) => (frontsegP(nil, skolem_W211211) <=> =(nil, skolem_W211211)))
% 253.77/68.33
% 253.77/68.33 [268] BETA_IMPLY : (ssList(skolem_W211211) => (frontsegP(nil, skolem_W211211) <=> =(nil, skolem_W211211)))
% 253.77/68.33 -> [269] ~ssList(skolem_W211211)
% 253.77/68.33 -> [270] (frontsegP(nil, skolem_W211211) <=> =(nil, skolem_W211211))
% 253.77/68.33
% 253.77/68.33 [269] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [270] BETA_EQUIV : (frontsegP(nil, skolem_W211211) <=> =(nil, skolem_W211211))
% 253.77/68.33 -> [471] ~frontsegP(nil, skolem_W211211), ~=(nil, skolem_W211211)
% 253.77/68.33 -> [472] frontsegP(nil, skolem_W211211), =(nil, skolem_W211211)
% 253.77/68.33
% 253.77/68.33 [472] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [471] GAMMA_FORALL : ! [U131_131] : ((ssList(U131_131) => ! [V132_132] : ((ssList(V132_132) => ! [W133_133] : ((ssList(W133_133) => ((rearsegP(U131_131, V132_132) & rearsegP(V132_132, W133_133)) => rearsegP(U131_131, W133_133))))))))
% 253.77/68.33 -> [473] (ssList(skolem_W211211) => ! [V132_132] : ((ssList(V132_132) => ! [W133_133] : ((ssList(W133_133) => ((rearsegP(skolem_W211211, V132_132) & rearsegP(V132_132, W133_133)) => rearsegP(skolem_W211211, W133_133)))))))
% 253.77/68.33
% 253.77/68.33 [473] BETA_IMPLY : (ssList(skolem_W211211) => ! [V132_132] : ((ssList(V132_132) => ! [W133_133] : ((ssList(W133_133) => ((rearsegP(skolem_W211211, V132_132) & rearsegP(V132_132, W133_133)) => rearsegP(skolem_W211211, W133_133)))))))
% 253.77/68.33 -> [474] ~ssList(skolem_W211211)
% 253.77/68.33 -> [475] ! [V132_132] : ((ssList(V132_132) => ! [W133_133] : ((ssList(W133_133) => ((rearsegP(skolem_W211211, V132_132) & rearsegP(V132_132, W133_133)) => rearsegP(skolem_W211211, W133_133))))))
% 253.77/68.33
% 253.77/68.33 [474] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [475] GAMMA_FORALL : ! [U134_134] : ((ssList(U134_134) => ! [V135_135] : ((ssList(V135_135) => ((rearsegP(U134_134, V135_135) & rearsegP(V135_135, U134_134)) => =(U134_134, V135_135))))))
% 253.77/68.33 -> [476] (ssList(skolem_W211211) => ! [V135_135] : ((ssList(V135_135) => ((rearsegP(skolem_W211211, V135_135) & rearsegP(V135_135, skolem_W211211)) => =(skolem_W211211, V135_135)))))
% 253.77/68.33
% 253.77/68.33 [476] BETA_IMPLY : (ssList(skolem_W211211) => ! [V135_135] : ((ssList(V135_135) => ((rearsegP(skolem_W211211, V135_135) & rearsegP(V135_135, skolem_W211211)) => =(skolem_W211211, V135_135)))))
% 253.77/68.33 -> [477] ~ssList(skolem_W211211)
% 253.77/68.33 -> [478] ! [V135_135] : ((ssList(V135_135) => ((rearsegP(skolem_W211211, V135_135) & rearsegP(V135_135, skolem_W211211)) => =(skolem_W211211, V135_135))))
% 253.77/68.33
% 253.77/68.33 [477] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [478] GAMMA_FORALL : ! [U136_136] : ((ssList(U136_136) => rearsegP(U136_136, U136_136)))
% 253.77/68.33 -> [479] (ssList(skolem_V210210) => rearsegP(skolem_V210210, skolem_V210210))
% 253.77/68.33
% 253.77/68.33 [479] BETA_IMPLY : (ssList(skolem_V210210) => rearsegP(skolem_V210210, skolem_V210210))
% 253.77/68.33 -> [480] ~ssList(skolem_V210210)
% 253.77/68.33 -> [481] rearsegP(skolem_V210210, skolem_V210210)
% 253.77/68.33
% 253.77/68.33 [480] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [481] GAMMA_FORALL : ! [U137_137] : ((ssList(U137_137) => ! [V138_138] : ((ssList(V138_138) => ! [W139_139] : ((ssList(W139_139) => (rearsegP(U137_137, V138_138) => rearsegP(app(W139_139, U137_137), V138_138))))))))
% 253.77/68.33 -> [482] (ssList(skolem_V210210) => ! [V138_138] : ((ssList(V138_138) => ! [W139_139] : ((ssList(W139_139) => (rearsegP(skolem_V210210, V138_138) => rearsegP(app(W139_139, skolem_V210210), V138_138)))))))
% 253.77/68.33
% 253.77/68.33 [482] BETA_IMPLY : (ssList(skolem_V210210) => ! [V138_138] : ((ssList(V138_138) => ! [W139_139] : ((ssList(W139_139) => (rearsegP(skolem_V210210, V138_138) => rearsegP(app(W139_139, skolem_V210210), V138_138)))))))
% 253.77/68.33 -> [483] ~ssList(skolem_V210210)
% 253.77/68.33 -> [484] ! [V138_138] : ((ssList(V138_138) => ! [W139_139] : ((ssList(W139_139) => (rearsegP(skolem_V210210, V138_138) => rearsegP(app(W139_139, skolem_V210210), V138_138))))))
% 253.77/68.33
% 253.77/68.33 [483] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [484] GAMMA_FORALL : ! [U140_140] : ((ssList(U140_140) => rearsegP(U140_140, nil)))
% 253.77/68.33 -> [485] (ssList(skolem_U209209) => rearsegP(skolem_U209209, nil))
% 253.77/68.33
% 253.77/68.33 [485] BETA_IMPLY : (ssList(skolem_U209209) => rearsegP(skolem_U209209, nil))
% 253.77/68.33 -> [486] ~ssList(skolem_U209209)
% 253.77/68.33 -> [487] rearsegP(skolem_U209209, nil)
% 253.77/68.33
% 253.77/68.33 [486] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [487] GAMMA_FORALL : ! [U141_141] : ((ssList(U141_141) => (rearsegP(nil, U141_141) <=> =(nil, U141_141))))
% 253.77/68.33 -> [488] (ssList(skolem_U209209) => (rearsegP(nil, skolem_U209209) <=> =(nil, skolem_U209209)))
% 253.77/68.33
% 253.77/68.33 [488] BETA_IMPLY : (ssList(skolem_U209209) => (rearsegP(nil, skolem_U209209) <=> =(nil, skolem_U209209)))
% 253.77/68.33 -> [489] ~ssList(skolem_U209209)
% 253.77/68.33 -> [490] (rearsegP(nil, skolem_U209209) <=> =(nil, skolem_U209209))
% 253.77/68.33
% 253.77/68.33 [489] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [490] BETA_EQUIV : (rearsegP(nil, skolem_U209209) <=> =(nil, skolem_U209209))
% 253.77/68.33 -> [551] ~rearsegP(nil, skolem_U209209), ~=(nil, skolem_U209209)
% 253.77/68.33 -> [552] rearsegP(nil, skolem_U209209), =(nil, skolem_U209209)
% 253.77/68.33
% 253.77/68.33 [552] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [551] GAMMA_FORALL : ! [U142_142] : ((ssList(U142_142) => ! [V143_143] : ((ssList(V143_143) => ! [W144_144] : ((ssList(W144_144) => ((segmentP(U142_142, V143_143) & segmentP(V143_143, W144_144)) => segmentP(U142_142, W144_144))))))))
% 253.77/68.33 -> [553] (ssList(tl(skolem_U209209)) => ! [V143_143] : ((ssList(V143_143) => ! [W144_144] : ((ssList(W144_144) => ((segmentP(tl(skolem_U209209), V143_143) & segmentP(V143_143, W144_144)) => segmentP(tl(skolem_U209209), W144_144)))))))
% 253.77/68.33
% 253.77/68.33 [553] BETA_IMPLY : (ssList(tl(skolem_U209209)) => ! [V143_143] : ((ssList(V143_143) => ! [W144_144] : ((ssList(W144_144) => ((segmentP(tl(skolem_U209209), V143_143) & segmentP(V143_143, W144_144)) => segmentP(tl(skolem_U209209), W144_144)))))))
% 253.77/68.33 -> [554] ~ssList(tl(skolem_U209209))
% 253.77/68.33 -> [555] ! [V143_143] : ((ssList(V143_143) => ! [W144_144] : ((ssList(W144_144) => ((segmentP(tl(skolem_U209209), V143_143) & segmentP(V143_143, W144_144)) => segmentP(tl(skolem_U209209), W144_144))))))
% 253.77/68.33
% 253.77/68.33 [554] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [555] GAMMA_FORALL : ! [U145_145] : ((ssList(U145_145) => ! [V146_146] : ((ssList(V146_146) => ((segmentP(U145_145, V146_146) & segmentP(V146_146, U145_145)) => =(U145_145, V146_146))))))
% 253.77/68.33 -> [556] (ssList(skolem_V210210) => ! [V146_146] : ((ssList(V146_146) => ((segmentP(skolem_V210210, V146_146) & segmentP(V146_146, skolem_V210210)) => =(skolem_V210210, V146_146)))))
% 253.77/68.33
% 253.77/68.33 [556] BETA_IMPLY : (ssList(skolem_V210210) => ! [V146_146] : ((ssList(V146_146) => ((segmentP(skolem_V210210, V146_146) & segmentP(V146_146, skolem_V210210)) => =(skolem_V210210, V146_146)))))
% 253.77/68.33 -> [557] ~ssList(skolem_V210210)
% 253.77/68.33 -> [558] ! [V146_146] : ((ssList(V146_146) => ((segmentP(skolem_V210210, V146_146) & segmentP(V146_146, skolem_V210210)) => =(skolem_V210210, V146_146))))
% 253.77/68.33
% 253.77/68.33 [557] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [558] GAMMA_FORALL : ! [U147_147] : ((ssList(U147_147) => segmentP(U147_147, U147_147)))
% 253.77/68.33 -> [559] (ssList(tl(skolem_U209209)) => segmentP(tl(skolem_U209209), tl(skolem_U209209)))
% 253.77/68.33
% 253.77/68.33 [559] BETA_IMPLY : (ssList(tl(skolem_U209209)) => segmentP(tl(skolem_U209209), tl(skolem_U209209)))
% 253.77/68.33 -> [560] ~ssList(tl(skolem_U209209))
% 253.77/68.33 -> [561] segmentP(tl(skolem_U209209), tl(skolem_U209209))
% 253.77/68.33
% 253.77/68.33 [560] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [561] GAMMA_FORALL : ! [U148_148] : ((ssList(U148_148) => ! [V149_149] : ((ssList(V149_149) => ! [W150_150] : ((ssList(W150_150) => ! [X151_151] : ((ssList(X151_151) => (segmentP(U148_148, V149_149) => segmentP(app(app(W150_150, U148_148), X151_151), V149_149))))))))))
% 253.77/68.33 -> [562] (ssList(skolem_W211211) => ! [V149_149] : ((ssList(V149_149) => ! [W150_150] : ((ssList(W150_150) => ! [X151_151] : ((ssList(X151_151) => (segmentP(skolem_W211211, V149_149) => segmentP(app(app(W150_150, skolem_W211211), X151_151), V149_149)))))))))
% 253.77/68.33
% 253.77/68.33 [562] BETA_IMPLY : (ssList(skolem_W211211) => ! [V149_149] : ((ssList(V149_149) => ! [W150_150] : ((ssList(W150_150) => ! [X151_151] : ((ssList(X151_151) => (segmentP(skolem_W211211, V149_149) => segmentP(app(app(W150_150, skolem_W211211), X151_151), V149_149)))))))))
% 253.77/68.33 -> [563] ~ssList(skolem_W211211)
% 253.77/68.33 -> [564] ! [V149_149] : ((ssList(V149_149) => ! [W150_150] : ((ssList(W150_150) => ! [X151_151] : ((ssList(X151_151) => (segmentP(skolem_W211211, V149_149) => segmentP(app(app(W150_150, skolem_W211211), X151_151), V149_149))))))))
% 253.77/68.33
% 253.77/68.33 [563] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [564] GAMMA_FORALL : ! [U152_152] : ((ssList(U152_152) => segmentP(U152_152, nil)))
% 253.77/68.33 -> [565] (ssList(skolem_W211211) => segmentP(skolem_W211211, nil))
% 253.77/68.33
% 253.77/68.33 [565] BETA_IMPLY : (ssList(skolem_W211211) => segmentP(skolem_W211211, nil))
% 253.77/68.33 -> [566] ~ssList(skolem_W211211)
% 253.77/68.33 -> [567] segmentP(skolem_W211211, nil)
% 253.77/68.33
% 253.77/68.33 [566] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [567] GAMMA_FORALL : ! [U153_153] : ((ssList(U153_153) => (segmentP(nil, U153_153) <=> =(nil, U153_153))))
% 253.77/68.33 -> [568] (ssList(skolem_U209209) => (segmentP(nil, skolem_U209209) <=> =(nil, skolem_U209209)))
% 253.77/68.33
% 253.77/68.33 [568] BETA_IMPLY : (ssList(skolem_U209209) => (segmentP(nil, skolem_U209209) <=> =(nil, skolem_U209209)))
% 253.77/68.33 -> [569] ~ssList(skolem_U209209)
% 253.77/68.33 -> [570] (segmentP(nil, skolem_U209209) <=> =(nil, skolem_U209209))
% 253.77/68.33
% 253.77/68.33 [569] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [570] BETA_EQUIV : (segmentP(nil, skolem_U209209) <=> =(nil, skolem_U209209))
% 253.77/68.33 -> [591] ~segmentP(nil, skolem_U209209), ~=(nil, skolem_U209209)
% 253.77/68.33 -> [592] segmentP(nil, skolem_U209209), =(nil, skolem_U209209)
% 253.77/68.33
% 253.77/68.33 [592] CLOSURE : =(nil, skolem_U209209)
% 253.77/68.33
% 253.77/68.33 [591] GAMMA_FORALL : ! [U154_154] : ((ssItem(U154_154) => cyclefreeP(cons(U154_154, nil))))
% 253.77/68.33 -> [593] (ssItem(skolem_U88) => cyclefreeP(cons(skolem_U88, nil)))
% 253.77/68.33
% 253.77/68.33 [593] BETA_IMPLY : (ssItem(skolem_U88) => cyclefreeP(cons(skolem_U88, nil)))
% 253.77/68.33 -> [594] ~ssItem(skolem_U88)
% 253.77/68.33 -> [595] cyclefreeP(cons(skolem_U88, nil))
% 253.77/68.33
% 253.77/68.33 [594] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [595] GAMMA_FORALL : ! [U155_155] : ((ssItem(U155_155) => totalorderP(cons(U155_155, nil))))
% 253.77/68.33 -> [596] (ssItem(skolem_V99) => totalorderP(cons(skolem_V99, nil)))
% 253.77/68.33
% 253.77/68.33 [596] BETA_IMPLY : (ssItem(skolem_V99) => totalorderP(cons(skolem_V99, nil)))
% 253.77/68.33 -> [597] ~ssItem(skolem_V99)
% 253.77/68.33 -> [598] totalorderP(cons(skolem_V99, nil))
% 253.77/68.33
% 253.77/68.33 [597] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [598] GAMMA_FORALL : ! [U156_156] : ((ssItem(U156_156) => strictorderP(cons(U156_156, nil))))
% 253.77/68.33 -> [599] (ssItem(skolem_U88) => strictorderP(cons(skolem_U88, nil)))
% 253.77/68.33
% 253.77/68.33 [599] BETA_IMPLY : (ssItem(skolem_U88) => strictorderP(cons(skolem_U88, nil)))
% 253.77/68.33 -> [600] ~ssItem(skolem_U88)
% 253.77/68.33 -> [601] strictorderP(cons(skolem_U88, nil))
% 253.77/68.33
% 253.77/68.33 [600] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [601] GAMMA_FORALL : ! [U157_157] : ((ssItem(U157_157) => totalorderedP(cons(U157_157, nil))))
% 253.77/68.33 -> [602] (ssItem(skolem_U88) => totalorderedP(cons(skolem_U88, nil)))
% 253.77/68.33
% 253.77/68.33 [602] BETA_IMPLY : (ssItem(skolem_U88) => totalorderedP(cons(skolem_U88, nil)))
% 253.77/68.33 -> [603] ~ssItem(skolem_U88)
% 253.77/68.33 -> [604] totalorderedP(cons(skolem_U88, nil))
% 253.77/68.33
% 253.77/68.33 [603] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [604] GAMMA_FORALL : ! [U158_158] : ((ssItem(U158_158) => ! [V159_159] : ((ssList(V159_159) => (totalorderedP(cons(U158_158, V159_159)) <=> (=(nil, V159_159) | ((~=(nil, V159_159) & totalorderedP(V159_159)) & leq(U158_158, hd(V159_159)))))))))
% 253.77/68.33 -> [605] (ssItem(skolem_Y213213) => ! [V159_159] : ((ssList(V159_159) => (totalorderedP(cons(skolem_Y213213, V159_159)) <=> (=(nil, V159_159) | ((~=(nil, V159_159) & totalorderedP(V159_159)) & leq(skolem_Y213213, hd(V159_159))))))))
% 253.77/68.33
% 253.77/68.33 [605] BETA_IMPLY : (ssItem(skolem_Y213213) => ! [V159_159] : ((ssList(V159_159) => (totalorderedP(cons(skolem_Y213213, V159_159)) <=> (=(nil, V159_159) | ((~=(nil, V159_159) & totalorderedP(V159_159)) & leq(skolem_Y213213, hd(V159_159))))))))
% 253.77/68.33 -> [606] ~ssItem(skolem_Y213213)
% 253.77/68.33 -> [607] ! [V159_159] : ((ssList(V159_159) => (totalorderedP(cons(skolem_Y213213, V159_159)) <=> (=(nil, V159_159) | ((~=(nil, V159_159) & totalorderedP(V159_159)) & leq(skolem_Y213213, hd(V159_159)))))))
% 253.77/68.33
% 253.77/68.33 [606] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [607] GAMMA_FORALL : ! [U160_160] : ((ssItem(U160_160) => strictorderedP(cons(U160_160, nil))))
% 253.77/68.33 -> [608] (ssItem(skolem_Y213213) => strictorderedP(cons(skolem_Y213213, nil)))
% 253.77/68.33
% 253.77/68.33 [608] BETA_IMPLY : (ssItem(skolem_Y213213) => strictorderedP(cons(skolem_Y213213, nil)))
% 253.77/68.33 -> [609] ~ssItem(skolem_Y213213)
% 253.77/68.33 -> [610] strictorderedP(cons(skolem_Y213213, nil))
% 253.77/68.33
% 253.77/68.33 [610] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 [609] CLOSURE : =
% 253.77/68.33
% 253.77/68.33 % SZS output end Proof for theBenchmark.p
% 253.77/68.33 [67.982633s][1][Res] 755907 goroutines created
% 253.77/68.33 ==== Result ====
% 253.77/68.33 [67.982658s][1][Res] VALID
% 253.77/68.33 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------